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Finding the Fourth Proportional to 64.14, 95.76 and 52.68

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Solution

The fourth proportional to 64.14, 95.76 and 52.68 is: 78.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.14 : 95.76 = 52.68 : x
  2. Step 2: Convert to fraction form
    64.14/95.76 = 52.68/x
  3. Step 3: Cross multiply
    64.14x = 95.76 × 52.68
  4. Step 4: Simplify right side
    64.14x = 5,044.64
  5. Step 5: Solve for x
    x = 5,044.64/64.14
  6. Step 6: Final answer
    x = 78.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.