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Finding the Fourth Proportional to 117.28, 175.12 and 104.88

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Solution

The fourth proportional to 117.28, 175.12 and 104.88 is: 156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.28 : 175.12 = 104.88 : x
  2. Step 2: Convert to fraction form
    117.28/175.12 = 104.88/x
  3. Step 3: Cross multiply
    117.28x = 175.12 × 104.88
  4. Step 4: Simplify right side
    117.28x = 18,366.59
  5. Step 5: Solve for x
    x = 18,366.59/117.28
  6. Step 6: Final answer
    x = 156.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.