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Finding the Fourth Proportional to 175.55, 242.07 and 116.46

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Solution

The fourth proportional to 175.55, 242.07 and 116.46 is: 160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.55 : 242.07 = 116.46 : x
  2. Step 2: Convert to fraction form
    175.55/242.07 = 116.46/x
  3. Step 3: Cross multiply
    175.55x = 242.07 × 116.46
  4. Step 4: Simplify right side
    175.55x = 28,191.47
  5. Step 5: Solve for x
    x = 28,191.47/175.55
  6. Step 6: Final answer
    x = 160.59

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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.