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Finding the Fourth Proportional to 97.12, 145.50 and 58.59

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Solution

The fourth proportional to 97.12, 145.50 and 58.59 is: 87.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.12 : 145.50 = 58.59 : x
  2. Step 2: Convert to fraction form
    97.12/145.50 = 58.59/x
  3. Step 3: Cross multiply
    97.12x = 145.50 × 58.59
  4. Step 4: Simplify right side
    97.12x = 8,524.01
  5. Step 5: Solve for x
    x = 8,524.01/97.12
  6. Step 6: Final answer
    x = 87.76

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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.