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Finding the Fourth Proportional to 175.47, 242.14 and 105.49

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Solution

The fourth proportional to 175.47, 242.14 and 105.49 is: 145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.47 : 242.14 = 105.49 : x
  2. Step 2: Convert to fraction form
    175.47/242.14 = 105.49/x
  3. Step 3: Cross multiply
    175.47x = 242.14 × 105.49
  4. Step 4: Simplify right side
    175.47x = 25,543.35
  5. Step 5: Solve for x
    x = 25,543.35/175.47
  6. Step 6: Final answer
    x = 145.57

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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.