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Finding the Fourth Proportional to 71.54, 98.70 and 47.01

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Solution

The fourth proportional to 71.54, 98.70 and 47.01 is: 64.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.54 : 98.70 = 47.01 : x
  2. Step 2: Convert to fraction form
    71.54/98.70 = 47.01/x
  3. Step 3: Cross multiply
    71.54x = 98.70 × 47.01
  4. Step 4: Simplify right side
    71.54x = 4,639.89
  5. Step 5: Solve for x
    x = 4,639.89/71.54
  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.