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Finding the Fourth Proportional to 113.29, 169.54 and 102.06

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Solution

The fourth proportional to 113.29, 169.54 and 102.06 is: 152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.29 : 169.54 = 102.06 : x
  2. Step 2: Convert to fraction form
    113.29/169.54 = 102.06/x
  3. Step 3: Cross multiply
    113.29x = 169.54 × 102.06
  4. Step 4: Simplify right side
    113.29x = 17,303.25
  5. Step 5: Solve for x
    x = 17,303.25/113.29
  6. Step 6: Final answer
    x = 152.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.