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Finding the Fourth Proportional to 107.10, 147.74 and 63.42

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Solution

The fourth proportional to 107.10, 147.74 and 63.42 is: 87.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.10 : 147.74 = 63.42 : x
  2. Step 2: Convert to fraction form
    107.10/147.74 = 63.42/x
  3. Step 3: Cross multiply
    107.10x = 147.74 × 63.42
  4. Step 4: Simplify right side
    107.10x = 9,369.67
  5. Step 5: Solve for x
    x = 9,369.67/107.10
  6. Step 6: Final answer
    x = 87.49

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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.