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Finding the Fourth Proportional to 97.66, 146.52 and 52.04

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Solution

The fourth proportional to 97.66, 146.52 and 52.04 is: 78.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.66 : 146.52 = 52.04 : x
  2. Step 2: Convert to fraction form
    97.66/146.52 = 52.04/x
  3. Step 3: Cross multiply
    97.66x = 146.52 × 52.04
  4. Step 4: Simplify right side
    97.66x = 7,624.17
  5. Step 5: Solve for x
    x = 7,624.17/97.66
  6. Step 6: Final answer
    x = 78.07

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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.