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Finding the Fourth Proportional to 64.57, 88.70 and 52.24

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Solution

The fourth proportional to 64.57, 88.70 and 52.24 is: 71.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.57 : 88.70 = 52.24 : x
  2. Step 2: Convert to fraction form
    64.57/88.70 = 52.24/x
  3. Step 3: Cross multiply
    64.57x = 88.70 × 52.24
  4. Step 4: Simplify right side
    64.57x = 4,633.69
  5. Step 5: Solve for x
    x = 4,633.69/64.57
  6. Step 6: Final answer
    x = 71.76

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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.