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Finding the Fourth Proportional to 142.76, 197.00 and 84.53

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Solution

The fourth proportional to 142.76, 197.00 and 84.53 is: 116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.76 : 197.00 = 84.53 : x
  2. Step 2: Convert to fraction form
    142.76/197.00 = 84.53/x
  3. Step 3: Cross multiply
    142.76x = 197.00 × 84.53
  4. Step 4: Simplify right side
    142.76x = 16,653.11
  5. Step 5: Solve for x
    x = 16,653.11/142.76
  6. Step 6: Final answer
    x = 116.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.