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Finding the Fourth Proportional to 64, 87.78 and 62.30

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Solution

The fourth proportional to 64, 87.78 and 62.30 is: 85.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64 : 87.78 = 62.30 : x
  2. Step 2: Convert to fraction form
    64/87.78 = 62.30/x
  3. Step 3: Cross multiply
    64x = 87.78 × 62.30
  4. Step 4: Simplify right side
    64x = 5,468.69
  5. Step 5: Solve for x
    x = 5,468.69/64
  6. Step 6: Final answer
    x = 85.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.