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Finding the Fourth Proportional to 141.16, 212.54 and 127.40

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Solution

The fourth proportional to 141.16, 212.54 and 127.40 is: 191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.16 : 212.54 = 127.40 : x
  2. Step 2: Convert to fraction form
    141.16/212.54 = 127.40/x
  3. Step 3: Cross multiply
    141.16x = 212.54 × 127.40
  4. Step 4: Simplify right side
    141.16x = 27,077.60
  5. Step 5: Solve for x
    x = 27,077.60/141.16
  6. Step 6: Final answer
    x = 191.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.