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Finding the Fourth Proportional to 142.13, 212.95 and 96.57

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Solution

The fourth proportional to 142.13, 212.95 and 96.57 is: 144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.13 : 212.95 = 96.57 : x
  2. Step 2: Convert to fraction form
    142.13/212.95 = 96.57/x
  3. Step 3: Cross multiply
    142.13x = 212.95 × 96.57
  4. Step 4: Simplify right side
    142.13x = 20,564.16
  5. Step 5: Solve for x
    x = 20,564.16/142.13
  6. Step 6: Final answer
    x = 144.68

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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.