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Finding the Fourth Proportional to 98.90, 136.32 and 75.56

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Solution

The fourth proportional to 98.90, 136.32 and 75.56 is: 104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.90 : 136.32 = 75.56 : x
  2. Step 2: Convert to fraction form
    98.90/136.32 = 75.56/x
  3. Step 3: Cross multiply
    98.90x = 136.32 × 75.56
  4. Step 4: Simplify right side
    98.90x = 10,300.34
  5. Step 5: Solve for x
    x = 10,300.34/98.90
  6. Step 6: Final answer
    x = 104.15

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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.