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Finding the Fourth Proportional to 157.02, 235.44 and 75.76

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Solution

The fourth proportional to 157.02, 235.44 and 75.76 is: 113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.02 : 235.44 = 75.76 : x
  2. Step 2: Convert to fraction form
    157.02/235.44 = 75.76/x
  3. Step 3: Cross multiply
    157.02x = 235.44 × 75.76
  4. Step 4: Simplify right side
    157.02x = 17,836.93
  5. Step 5: Solve for x
    x = 17,836.93/157.02
  6. Step 6: Final answer
    x = 113.60

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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.