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Finding the Fourth Proportional to 71.46, 98.53 and 46.58

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Solution

The fourth proportional to 71.46, 98.53 and 46.58 is: 64.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.46 : 98.53 = 46.58 : x
  2. Step 2: Convert to fraction form
    71.46/98.53 = 46.58/x
  3. Step 3: Cross multiply
    71.46x = 98.53 × 46.58
  4. Step 4: Simplify right side
    71.46x = 4,589.53
  5. Step 5: Solve for x
    x = 4,589.53/71.46
  6. Step 6: Final answer
    x = 64.23

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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.