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Finding the Fourth Proportional to 71.32, 98.38 and 46.71

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Solution

The fourth proportional to 71.32, 98.38 and 46.71 is: 64.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.32 : 98.38 = 46.71 : x
  2. Step 2: Convert to fraction form
    71.32/98.38 = 46.71/x
  3. Step 3: Cross multiply
    71.32x = 98.38 × 46.71
  4. Step 4: Simplify right side
    71.32x = 4,595.33
  5. Step 5: Solve for x
    x = 4,595.33/71.32
  6. Step 6: Final answer
    x = 64.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.