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Finding the Fourth Proportional to 97.64, 146.47 and 25.50

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Solution

The fourth proportional to 97.64, 146.47 and 25.50 is: 38.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.64 : 146.47 = 25.50 : x
  2. Step 2: Convert to fraction form
    97.64/146.47 = 25.50/x
  3. Step 3: Cross multiply
    97.64x = 146.47 × 25.50
  4. Step 4: Simplify right side
    97.64x = 3,734.92
  5. Step 5: Solve for x
    x = 3,734.92/97.64
  6. Step 6: Final answer
    x = 38.25

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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.