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Finding the Fourth Proportional to 98.48, 135.90 and 55.89

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Solution

The fourth proportional to 98.48, 135.90 and 55.89 is: 77.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.48 : 135.90 = 55.89 : x
  2. Step 2: Convert to fraction form
    98.48/135.90 = 55.89/x
  3. Step 3: Cross multiply
    98.48x = 135.90 × 55.89
  4. Step 4: Simplify right side
    98.48x = 7,595.17
  5. Step 5: Solve for x
    x = 7,595.17/98.48
  6. Step 6: Final answer
    x = 77.13

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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.