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Finding the Fourth Proportional to 141.47, 212.07 and 90.14

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Solution

The fourth proportional to 141.47, 212.07 and 90.14 is: 135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.47 : 212.07 = 90.14 : x
  2. Step 2: Convert to fraction form
    141.47/212.07 = 90.14/x
  3. Step 3: Cross multiply
    141.47x = 212.07 × 90.14
  4. Step 4: Simplify right side
    141.47x = 19,114.93
  5. Step 5: Solve for x
    x = 19,114.93/141.47
  6. Step 6: Final answer
    x = 135.12

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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.