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Finding the Fourth Proportional to 102.53, 152.69 and 97.88

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Solution

The fourth proportional to 102.53, 152.69 and 97.88 is: 145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.53 : 152.69 = 97.88 : x
  2. Step 2: Convert to fraction form
    102.53/152.69 = 97.88/x
  3. Step 3: Cross multiply
    102.53x = 152.69 × 97.88
  4. Step 4: Simplify right side
    102.53x = 14,944.04
  5. Step 5: Solve for x
    x = 14,944.04/102.53
  6. Step 6: Final answer
    x = 145.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.