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Finding the Fourth Proportional to 97.84, 134.98 and 58.52

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Solution

The fourth proportional to 97.84, 134.98 and 58.52 is: 80.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.84 : 134.98 = 58.52 : x
  2. Step 2: Convert to fraction form
    97.84/134.98 = 58.52/x
  3. Step 3: Cross multiply
    97.84x = 134.98 × 58.52
  4. Step 4: Simplify right side
    97.84x = 7,899.03
  5. Step 5: Solve for x
    x = 7,899.03/97.84
  6. Step 6: Final answer
    x = 80.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.