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Finding the Fourth Proportional to 98.40, 135.78 and 54.14

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Solution

The fourth proportional to 98.40, 135.78 and 54.14 is: 74.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.40 : 135.78 = 54.14 : x
  2. Step 2: Convert to fraction form
    98.40/135.78 = 54.14/x
  3. Step 3: Cross multiply
    98.40x = 135.78 × 54.14
  4. Step 4: Simplify right side
    98.40x = 7,350.55
  5. Step 5: Solve for x
    x = 7,350.55/98.40
  6. Step 6: Final answer
    x = 74.70

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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.