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Finding the Fourth Proportional to 175.86, 242.70 and 106.86

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Solution

The fourth proportional to 175.86, 242.70 and 106.86 is: 147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.86 : 242.70 = 106.86 : x
  2. Step 2: Convert to fraction form
    175.86/242.70 = 106.86/x
  3. Step 3: Cross multiply
    175.86x = 242.70 × 106.86
  4. Step 4: Simplify right side
    175.86x = 25,934.92
  5. Step 5: Solve for x
    x = 25,934.92/175.86
  6. Step 6: Final answer
    x = 147.47

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Why These Related Problems?

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