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Finding the Fourth Proportional to 64.50, 95.76 and 63.42

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Solution

The fourth proportional to 64.50, 95.76 and 63.42 is: 94.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.50 : 95.76 = 63.42 : x
  2. Step 2: Convert to fraction form
    64.50/95.76 = 63.42/x
  3. Step 3: Cross multiply
    64.50x = 95.76 × 63.42
  4. Step 4: Simplify right side
    64.50x = 6,073.10
  5. Step 5: Solve for x
    x = 6,073.10/64.50
  6. Step 6: Final answer
    x = 94.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.