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Finding the Fourth Proportional to 97.06, 145.44 and 77.69

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Solution

The fourth proportional to 97.06, 145.44 and 77.69 is: 116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.06 : 145.44 = 77.69 : x
  2. Step 2: Convert to fraction form
    97.06/145.44 = 77.69/x
  3. Step 3: Cross multiply
    97.06x = 145.44 × 77.69
  4. Step 4: Simplify right side
    97.06x = 11,299.23
  5. Step 5: Solve for x
    x = 11,299.23/97.06
  6. Step 6: Final answer
    x = 116.41

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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.