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Finding the Fourth Proportional to 107.70, 148.28 and 97.40

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Solution

The fourth proportional to 107.70, 148.28 and 97.40 is: 134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.70 : 148.28 = 97.40 : x
  2. Step 2: Convert to fraction form
    107.70/148.28 = 97.40/x
  3. Step 3: Cross multiply
    107.70x = 148.28 × 97.40
  4. Step 4: Simplify right side
    107.70x = 14,442.47
  5. Step 5: Solve for x
    x = 14,442.47/107.70
  6. Step 6: Final answer
    x = 134.10

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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.