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Finding the Fourth Proportional to 107.64, 148.38 and 81.42

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Solution

The fourth proportional to 107.64, 148.38 and 81.42 is: 112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.64 : 148.38 = 81.42 : x
  2. Step 2: Convert to fraction form
    107.64/148.38 = 81.42/x
  3. Step 3: Cross multiply
    107.64x = 148.38 × 81.42
  4. Step 4: Simplify right side
    107.64x = 12,081.10
  5. Step 5: Solve for x
    x = 12,081.10/107.64
  6. Step 6: Final answer
    x = 112.24

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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.