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Finding the Fourth Proportional to 89.88, 134.69 and 83.13

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Solution

The fourth proportional to 89.88, 134.69 and 83.13 is: 124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.88 : 134.69 = 83.13 : x
  2. Step 2: Convert to fraction form
    89.88/134.69 = 83.13/x
  3. Step 3: Cross multiply
    89.88x = 134.69 × 83.13
  4. Step 4: Simplify right side
    89.88x = 11,196.36
  5. Step 5: Solve for x
    x = 11,196.36/89.88
  6. Step 6: Final answer
    x = 124.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.