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Finding the Fourth Proportional to 65.53, 98.42 and 57.47

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Solution

The fourth proportional to 65.53, 98.42 and 57.47 is: 86.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.53 : 98.42 = 57.47 : x
  2. Step 2: Convert to fraction form
    65.53/98.42 = 57.47/x
  3. Step 3: Cross multiply
    65.53x = 98.42 × 57.47
  4. Step 4: Simplify right side
    65.53x = 5,656.20
  5. Step 5: Solve for x
    x = 5,656.20/65.53
  6. Step 6: Final answer
    x = 86.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.