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Finding the Fourth Proportional to 107.52, 148.14 and 107.26

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Solution

The fourth proportional to 107.52, 148.14 and 107.26 is: 147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.52 : 148.14 = 107.26 : x
  2. Step 2: Convert to fraction form
    107.52/148.14 = 107.26/x
  3. Step 3: Cross multiply
    107.52x = 148.14 × 107.26
  4. Step 4: Simplify right side
    107.52x = 15,889.50
  5. Step 5: Solve for x
    x = 15,889.50/107.52
  6. Step 6: Final answer
    x = 147.78

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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.