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Finding the Fourth Proportional to 97.64, 146.50 and 32.66

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Solution

The fourth proportional to 97.64, 146.50 and 32.66 is: 49.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.64 : 146.50 = 32.66 : x
  2. Step 2: Convert to fraction form
    97.64/146.50 = 32.66/x
  3. Step 3: Cross multiply
    97.64x = 146.50 × 32.66
  4. Step 4: Simplify right side
    97.64x = 4,784.69
  5. Step 5: Solve for x
    x = 4,784.69/97.64
  6. Step 6: Final answer
    x = 49.00

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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.