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Finding the Fourth Proportional to 71.52, 106.80 and 64.68

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Solution

The fourth proportional to 71.52, 106.80 and 64.68 is: 96.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.52 : 106.80 = 64.68 : x
  2. Step 2: Convert to fraction form
    71.52/106.80 = 64.68/x
  3. Step 3: Cross multiply
    71.52x = 106.80 × 64.68
  4. Step 4: Simplify right side
    71.52x = 6,907.82
  5. Step 5: Solve for x
    x = 6,907.82/71.52
  6. Step 6: Final answer
    x = 96.59

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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.