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Finding the Fourth Proportional to 175.50, 242.14 and 101.80

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Solution

The fourth proportional to 175.50, 242.14 and 101.80 is: 140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.50 : 242.14 = 101.80 : x
  2. Step 2: Convert to fraction form
    175.50/242.14 = 101.80/x
  3. Step 3: Cross multiply
    175.50x = 242.14 × 101.80
  4. Step 4: Simplify right side
    175.50x = 24,649.85
  5. Step 5: Solve for x
    x = 24,649.85/175.50
  6. Step 6: Final answer
    x = 140.45

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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.