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Finding the Fourth Proportional to 157.06, 235.50 and 105.76

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Solution

The fourth proportional to 157.06, 235.50 and 105.76 is: 158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.06 : 235.50 = 105.76 : x
  2. Step 2: Convert to fraction form
    157.06/235.50 = 105.76/x
  3. Step 3: Cross multiply
    157.06x = 235.50 × 105.76
  4. Step 4: Simplify right side
    157.06x = 24,906.48
  5. Step 5: Solve for x
    x = 24,906.48/157.06
  6. Step 6: Final answer
    x = 158.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.