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Finding the Fourth Proportional to 102.50, 152.96 and 93.42

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Solution

The fourth proportional to 102.50, 152.96 and 93.42 is: 139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.50 : 152.96 = 93.42 : x
  2. Step 2: Convert to fraction form
    102.50/152.96 = 93.42/x
  3. Step 3: Cross multiply
    102.50x = 152.96 × 93.42
  4. Step 4: Simplify right side
    102.50x = 14,289.52
  5. Step 5: Solve for x
    x = 14,289.52/102.50
  6. Step 6: Final answer
    x = 139.41

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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.