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Finding the Fourth Proportional to 113.34, 169.76 and 55.47

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Solution

The fourth proportional to 113.34, 169.76 and 55.47 is: 83.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.34 : 169.76 = 55.47 : x
  2. Step 2: Convert to fraction form
    113.34/169.76 = 55.47/x
  3. Step 3: Cross multiply
    113.34x = 169.76 × 55.47
  4. Step 4: Simplify right side
    113.34x = 9,416.31
  5. Step 5: Solve for x
    x = 9,416.31/113.34
  6. Step 6: Final answer
    x = 83.08

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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.