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Finding the Fourth Proportional to 98.14, 135.42 and 54.47

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Solution

The fourth proportional to 98.14, 135.42 and 54.47 is: 75.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.14 : 135.42 = 54.47 : x
  2. Step 2: Convert to fraction form
    98.14/135.42 = 54.47/x
  3. Step 3: Cross multiply
    98.14x = 135.42 × 54.47
  4. Step 4: Simplify right side
    98.14x = 7,376.16
  5. Step 5: Solve for x
    x = 7,376.16/98.14
  6. Step 6: Final answer
    x = 75.16

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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.