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Finding the Fourth Proportional to 98.89, 136.50 and 75.58

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Solution

The fourth proportional to 98.89, 136.50 and 75.58 is: 104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.89 : 136.50 = 75.58 : x
  2. Step 2: Convert to fraction form
    98.89/136.50 = 75.58/x
  3. Step 3: Cross multiply
    98.89x = 136.50 × 75.58
  4. Step 4: Simplify right side
    98.89x = 10,316.67
  5. Step 5: Solve for x
    x = 10,316.67/98.89
  6. Step 6: Final answer
    x = 104.32

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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.