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Finding the Fourth Proportional to 71.10, 98.07 and 46.53

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Solution

The fourth proportional to 71.10, 98.07 and 46.53 is: 64.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.10 : 98.07 = 46.53 : x
  2. Step 2: Convert to fraction form
    71.10/98.07 = 46.53/x
  3. Step 3: Cross multiply
    71.10x = 98.07 × 46.53
  4. Step 4: Simplify right side
    71.10x = 4,563.20
  5. Step 5: Solve for x
    x = 4,563.20/71.10
  6. Step 6: Final answer
    x = 64.18

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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.