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Finding the Fourth Proportional to 102.53, 153.90 and 56.91

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Solution

The fourth proportional to 102.53, 153.90 and 56.91 is: 85.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.53 : 153.90 = 56.91 : x
  2. Step 2: Convert to fraction form
    102.53/153.90 = 56.91/x
  3. Step 3: Cross multiply
    102.53x = 153.90 × 56.91
  4. Step 4: Simplify right side
    102.53x = 8,759.03
  5. Step 5: Solve for x
    x = 8,759.03/102.53
  6. Step 6: Final answer
    x = 85.43

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