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Finding the Fourth Proportional to 95.07, 142.57 and 64.66

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Solution

The fourth proportional to 95.07, 142.57 and 64.66 is: 96.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.07 : 142.57 = 64.66 : x
  2. Step 2: Convert to fraction form
    95.07/142.57 = 64.66/x
  3. Step 3: Cross multiply
    95.07x = 142.57 × 64.66
  4. Step 4: Simplify right side
    95.07x = 9,218.25
  5. Step 5: Solve for x
    x = 9,218.25/95.07
  6. Step 6: Final answer
    x = 96.96

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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.