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Finding the Fourth Proportional to 113.90, 171.76 and 101.30

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Solution

The fourth proportional to 113.90, 171.76 and 101.30 is: 152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.90 : 171.76 = 101.30 : x
  2. Step 2: Convert to fraction form
    113.90/171.76 = 101.30/x
  3. Step 3: Cross multiply
    113.90x = 171.76 × 101.30
  4. Step 4: Simplify right side
    113.90x = 17,398.78
  5. Step 5: Solve for x
    x = 17,398.78/113.90
  6. Step 6: Final answer
    x = 152.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.