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Finding the Fourth Proportional to 77.66, 116.49 and 32.00

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Solution

The fourth proportional to 77.66, 116.49 and 32.00 is: 48.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.66 : 116.49 = 32.00 : x
  2. Step 2: Convert to fraction form
    77.66/116.49 = 32.00/x
  3. Step 3: Cross multiply
    77.66x = 116.49 × 32.00
  4. Step 4: Simplify right side
    77.66x = 3,727.10
  5. Step 5: Solve for x
    x = 3,727.10/77.66
  6. Step 6: Final answer
    x = 48.00

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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.