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Finding the Fourth Proportional to 98.61, 135.81 and 89.43

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Solution

The fourth proportional to 98.61, 135.81 and 89.43 is: 123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.61 : 135.81 = 89.43 : x
  2. Step 2: Convert to fraction form
    98.61/135.81 = 89.43/x
  3. Step 3: Cross multiply
    98.61x = 135.81 × 89.43
  4. Step 4: Simplify right side
    98.61x = 12,145.49
  5. Step 5: Solve for x
    x = 12,145.49/98.61
  6. Step 6: Final answer
    x = 123.17

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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.