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Finding the Fourth Proportional to 97.70, 145.86 and 80.52

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Solution

The fourth proportional to 97.70, 145.86 and 80.52 is: 120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.70 : 145.86 = 80.52 : x
  2. Step 2: Convert to fraction form
    97.70/145.86 = 80.52/x
  3. Step 3: Cross multiply
    97.70x = 145.86 × 80.52
  4. Step 4: Simplify right side
    97.70x = 11,744.65
  5. Step 5: Solve for x
    x = 11,744.65/97.70
  6. Step 6: Final answer
    x = 120.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.