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Finding the Fourth Proportional to 141.54, 212.32 and 45.42

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Solution

The fourth proportional to 141.54, 212.32 and 45.42 is: 68.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.54 : 212.32 = 45.42 : x
  2. Step 2: Convert to fraction form
    141.54/212.32 = 45.42/x
  3. Step 3: Cross multiply
    141.54x = 212.32 × 45.42
  4. Step 4: Simplify right side
    141.54x = 9,643.57
  5. Step 5: Solve for x
    x = 9,643.57/141.54
  6. Step 6: Final answer
    x = 68.13

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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.