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Finding the Fourth Proportional to 175.70, 242.50 and 102

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Solution

The fourth proportional to 175.70, 242.50 and 102 is: 140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.70 : 242.50 = 102 : x
  2. Step 2: Convert to fraction form
    175.70/242.50 = 102/x
  3. Step 3: Cross multiply
    175.70x = 242.50 × 102
  4. Step 4: Simplify right side
    175.70x = 24,735
  5. Step 5: Solve for x
    x = 24,735/175.70
  6. Step 6: Final answer
    x = 140.78

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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.