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Finding the Fourth Proportional to 157.54, 235.77 and 105.76

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Solution

The fourth proportional to 157.54, 235.77 and 105.76 is: 158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.54 : 235.77 = 105.76 : x
  2. Step 2: Convert to fraction form
    157.54/235.77 = 105.76/x
  3. Step 3: Cross multiply
    157.54x = 235.77 × 105.76
  4. Step 4: Simplify right side
    157.54x = 24,935.04
  5. Step 5: Solve for x
    x = 24,935.04/157.54
  6. Step 6: Final answer
    x = 158.28

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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.