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Finding the Fourth Proportional to 175.34, 242 and 101.69

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Solution

The fourth proportional to 175.34, 242 and 101.69 is: 140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.34 : 242 = 101.69 : x
  2. Step 2: Convert to fraction form
    175.34/242 = 101.69/x
  3. Step 3: Cross multiply
    175.34x = 242 × 101.69
  4. Step 4: Simplify right side
    175.34x = 24,608.98
  5. Step 5: Solve for x
    x = 24,608.98/175.34
  6. Step 6: Final answer
    x = 140.35

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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.