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Finding the Fourth Proportional to 59.66, 89.54 and 32.61

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Solution

The fourth proportional to 59.66, 89.54 and 32.61 is: 48.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.66 : 89.54 = 32.61 : x
  2. Step 2: Convert to fraction form
    59.66/89.54 = 32.61/x
  3. Step 3: Cross multiply
    59.66x = 89.54 × 32.61
  4. Step 4: Simplify right side
    59.66x = 2,919.74
  5. Step 5: Solve for x
    x = 2,919.74/59.66
  6. Step 6: Final answer
    x = 48.94

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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.