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Finding the Fourth Proportional to 97.84, 146.72 and 52.16

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Solution

The fourth proportional to 97.84, 146.72 and 52.16 is: 78.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.84 : 146.72 = 52.16 : x
  2. Step 2: Convert to fraction form
    97.84/146.72 = 52.16/x
  3. Step 3: Cross multiply
    97.84x = 146.72 × 52.16
  4. Step 4: Simplify right side
    97.84x = 7,652.92
  5. Step 5: Solve for x
    x = 7,652.92/97.84
  6. Step 6: Final answer
    x = 78.22

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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.