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Finding the Fourth Proportional to 141.71, 212.57 and 45.53

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Solution

The fourth proportional to 141.71, 212.57 and 45.53 is: 68.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.71 : 212.57 = 45.53 : x
  2. Step 2: Convert to fraction form
    141.71/212.57 = 45.53/x
  3. Step 3: Cross multiply
    141.71x = 212.57 × 45.53
  4. Step 4: Simplify right side
    141.71x = 9,677.02
  5. Step 5: Solve for x
    x = 9,677.02/141.71
  6. Step 6: Final answer
    x = 68.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.