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Finding the Fourth Proportional to 175.52, 242.16 and 106.48

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Solution

The fourth proportional to 175.52, 242.16 and 106.48 is: 146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.52 : 242.16 = 106.48 : x
  2. Step 2: Convert to fraction form
    175.52/242.16 = 106.48/x
  3. Step 3: Cross multiply
    175.52x = 242.16 × 106.48
  4. Step 4: Simplify right side
    175.52x = 25,785.20
  5. Step 5: Solve for x
    x = 25,785.20/175.52
  6. Step 6: Final answer
    x = 146.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.