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Finding the Fourth Proportional to 113.32, 169.66 and 58.36

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Solution

The fourth proportional to 113.32, 169.66 and 58.36 is: 87.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.32 : 169.66 = 58.36 : x
  2. Step 2: Convert to fraction form
    113.32/169.66 = 58.36/x
  3. Step 3: Cross multiply
    113.32x = 169.66 × 58.36
  4. Step 4: Simplify right side
    113.32x = 9,901.36
  5. Step 5: Solve for x
    x = 9,901.36/113.32
  6. Step 6: Final answer
    x = 87.38

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