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Finding the Fourth Proportional to 113.28, 170.54 and 77.45

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Solution

The fourth proportional to 113.28, 170.54 and 77.45 is: 116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.28 : 170.54 = 77.45 : x
  2. Step 2: Convert to fraction form
    113.28/170.54 = 77.45/x
  3. Step 3: Cross multiply
    113.28x = 170.54 × 77.45
  4. Step 4: Simplify right side
    113.28x = 13,207.08
  5. Step 5: Solve for x
    x = 13,207.08/113.28
  6. Step 6: Final answer
    x = 116.59

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