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Finding the Fourth Proportional to 107.32, 148.14 and 89.80

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Solution

The fourth proportional to 107.32, 148.14 and 89.80 is: 123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.32 : 148.14 = 89.80 : x
  2. Step 2: Convert to fraction form
    107.32/148.14 = 89.80/x
  3. Step 3: Cross multiply
    107.32x = 148.14 × 89.80
  4. Step 4: Simplify right side
    107.32x = 13,302.97
  5. Step 5: Solve for x
    x = 13,302.97/107.32
  6. Step 6: Final answer
    x = 123.96

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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.