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Finding the Fourth Proportional to 107.87, 148.76 and 87.14

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Solution

The fourth proportional to 107.87, 148.76 and 87.14 is: 120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.87 : 148.76 = 87.14 : x
  2. Step 2: Convert to fraction form
    107.87/148.76 = 87.14/x
  3. Step 3: Cross multiply
    107.87x = 148.76 × 87.14
  4. Step 4: Simplify right side
    107.87x = 12,962.09
  5. Step 5: Solve for x
    x = 12,962.09/107.87
  6. Step 6: Final answer
    x = 120.17

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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.