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Finding the Fourth Proportional to 101.23, 152.10 and 64.69

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Solution

The fourth proportional to 101.23, 152.10 and 64.69 is: 97.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.23 : 152.10 = 64.69 : x
  2. Step 2: Convert to fraction form
    101.23/152.10 = 64.69/x
  3. Step 3: Cross multiply
    101.23x = 152.10 × 64.69
  4. Step 4: Simplify right side
    101.23x = 9,838.97
  5. Step 5: Solve for x
    x = 9,838.97/101.23
  6. Step 6: Final answer
    x = 97.19

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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.