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Finding the Fourth Proportional to 71.53, 98.49 and 61.05

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Solution

The fourth proportional to 71.53, 98.49 and 61.05 is: 84.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.53 : 98.49 = 61.05 : x
  2. Step 2: Convert to fraction form
    71.53/98.49 = 61.05/x
  3. Step 3: Cross multiply
    71.53x = 98.49 × 61.05
  4. Step 4: Simplify right side
    71.53x = 6,013.24
  5. Step 5: Solve for x
    x = 6,013.24/71.53
  6. Step 6: Final answer
    x = 84.06

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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.