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Finding the Fourth Proportional to 97.56, 146.38 and 59.08

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Solution

The fourth proportional to 97.56, 146.38 and 59.08 is: 88.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.56 : 146.38 = 59.08 : x
  2. Step 2: Convert to fraction form
    97.56/146.38 = 59.08/x
  3. Step 3: Cross multiply
    97.56x = 146.38 × 59.08
  4. Step 4: Simplify right side
    97.56x = 8,648.13
  5. Step 5: Solve for x
    x = 8,648.13/97.56
  6. Step 6: Final answer
    x = 88.64

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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.