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Finding the Fourth Proportional to 113.87, 157.13 and 74.46

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Solution

The fourth proportional to 113.87, 157.13 and 74.46 is: 102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.87 : 157.13 = 74.46 : x
  2. Step 2: Convert to fraction form
    113.87/157.13 = 74.46/x
  3. Step 3: Cross multiply
    113.87x = 157.13 × 74.46
  4. Step 4: Simplify right side
    113.87x = 11,699.53
  5. Step 5: Solve for x
    x = 11,699.53/113.87
  6. Step 6: Final answer
    x = 102.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.