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Finding the Fourth Proportional to 98.31, 135.38 and 89.52

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Solution

The fourth proportional to 98.31, 135.38 and 89.52 is: 123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.31 : 135.38 = 89.52 : x
  2. Step 2: Convert to fraction form
    98.31/135.38 = 89.52/x
  3. Step 3: Cross multiply
    98.31x = 135.38 × 89.52
  4. Step 4: Simplify right side
    98.31x = 12,119.22
  5. Step 5: Solve for x
    x = 12,119.22/98.31
  6. Step 6: Final answer
    x = 123.28

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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.