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Finding the Fourth Proportional to 141.28, 212.74 and 103.02

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Solution

The fourth proportional to 141.28, 212.74 and 103.02 is: 155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.28 : 212.74 = 103.02 : x
  2. Step 2: Convert to fraction form
    141.28/212.74 = 103.02/x
  3. Step 3: Cross multiply
    141.28x = 212.74 × 103.02
  4. Step 4: Simplify right side
    141.28x = 21,916.47
  5. Step 5: Solve for x
    x = 21,916.47/141.28
  6. Step 6: Final answer
    x = 155.13

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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.