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Finding the Fourth Proportional to 71.55, 98.70 and 47.02

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Solution

The fourth proportional to 71.55, 98.70 and 47.02 is: 64.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.55 : 98.70 = 47.02 : x
  2. Step 2: Convert to fraction form
    71.55/98.70 = 47.02/x
  3. Step 3: Cross multiply
    71.55x = 98.70 × 47.02
  4. Step 4: Simplify right side
    71.55x = 4,640.87
  5. Step 5: Solve for x
    x = 4,640.87/71.55
  6. Step 6: Final answer
    x = 64.86

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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.