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Finding the Fourth Proportional to 117.54, 176.32 and 59.78

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Solution

The fourth proportional to 117.54, 176.32 and 59.78 is: 89.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.54 : 176.32 = 59.78 : x
  2. Step 2: Convert to fraction form
    117.54/176.32 = 59.78/x
  3. Step 3: Cross multiply
    117.54x = 176.32 × 59.78
  4. Step 4: Simplify right side
    117.54x = 10,540.41
  5. Step 5: Solve for x
    x = 10,540.41/117.54
  6. Step 6: Final answer
    x = 89.68

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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.