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Finding the Fourth Proportional to 71.53, 106.55 and 64.24

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Solution

The fourth proportional to 71.53, 106.55 and 64.24 is: 95.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.53 : 106.55 = 64.24 : x
  2. Step 2: Convert to fraction form
    71.53/106.55 = 64.24/x
  3. Step 3: Cross multiply
    71.53x = 106.55 × 64.24
  4. Step 4: Simplify right side
    71.53x = 6,844.77
  5. Step 5: Solve for x
    x = 6,844.77/71.53
  6. Step 6: Final answer
    x = 95.69

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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.