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Finding the Fourth Proportional to 64.07, 95.88 and 55.16

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Solution

The fourth proportional to 64.07, 95.88 and 55.16 is: 82.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.07 : 95.88 = 55.16 : x
  2. Step 2: Convert to fraction form
    64.07/95.88 = 55.16/x
  3. Step 3: Cross multiply
    64.07x = 95.88 × 55.16
  4. Step 4: Simplify right side
    64.07x = 5,288.47
  5. Step 5: Solve for x
    x = 5,288.47/64.07
  6. Step 6: Final answer
    x = 82.54

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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.