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Finding the Fourth Proportional to 117.93, 176.85 and 39.83

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Solution

The fourth proportional to 117.93, 176.85 and 39.83 is: 59.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.93 : 176.85 = 39.83 : x
  2. Step 2: Convert to fraction form
    117.93/176.85 = 39.83/x
  3. Step 3: Cross multiply
    117.93x = 176.85 × 39.83
  4. Step 4: Simplify right side
    117.93x = 7,043.05
  5. Step 5: Solve for x
    x = 7,043.05/117.93
  6. Step 6: Final answer
    x = 59.72

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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.