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Finding the Fourth Proportional to 143.32, 197.76 and 85.10

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Solution

The fourth proportional to 143.32, 197.76 and 85.10 is: 117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.32 : 197.76 = 85.10 : x
  2. Step 2: Convert to fraction form
    143.32/197.76 = 85.10/x
  3. Step 3: Cross multiply
    143.32x = 197.76 × 85.10
  4. Step 4: Simplify right side
    143.32x = 16,829.38
  5. Step 5: Solve for x
    x = 16,829.38/143.32
  6. Step 6: Final answer
    x = 117.43

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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.