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Finding the Fourth Proportional to 97.18, 145.60 and 77.82

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Solution

The fourth proportional to 97.18, 145.60 and 77.82 is: 116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.18 : 145.60 = 77.82 : x
  2. Step 2: Convert to fraction form
    97.18/145.60 = 77.82/x
  3. Step 3: Cross multiply
    97.18x = 145.60 × 77.82
  4. Step 4: Simplify right side
    97.18x = 11,330.59
  5. Step 5: Solve for x
    x = 11,330.59/97.18
  6. Step 6: Final answer
    x = 116.59

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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.