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Finding the Fourth Proportional to 76.54, 105.52 and 64.24

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Solution

The fourth proportional to 76.54, 105.52 and 64.24 is: 88.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.54 : 105.52 = 64.24 : x
  2. Step 2: Convert to fraction form
    76.54/105.52 = 64.24/x
  3. Step 3: Cross multiply
    76.54x = 105.52 × 64.24
  4. Step 4: Simplify right side
    76.54x = 6,778.60
  5. Step 5: Solve for x
    x = 6,778.60/76.54
  6. Step 6: Final answer
    x = 88.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.