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Finding the Fourth Proportional to 102.70, 141.75 and 67.74

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Solution

The fourth proportional to 102.70, 141.75 and 67.74 is: 93.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.70 : 141.75 = 67.74 : x
  2. Step 2: Convert to fraction form
    102.70/141.75 = 67.74/x
  3. Step 3: Cross multiply
    102.70x = 141.75 × 67.74
  4. Step 4: Simplify right side
    102.70x = 9,602.15
  5. Step 5: Solve for x
    x = 9,602.15/102.70
  6. Step 6: Final answer
    x = 93.50

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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.