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Finding the Fourth Proportional to 117.81, 176.78 and 106.47

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Solution

The fourth proportional to 117.81, 176.78 and 106.47 is: 159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.81 : 176.78 = 106.47 : x
  2. Step 2: Convert to fraction form
    117.81/176.78 = 106.47/x
  3. Step 3: Cross multiply
    117.81x = 176.78 × 106.47
  4. Step 4: Simplify right side
    117.81x = 18,822.03
  5. Step 5: Solve for x
    x = 18,822.03/117.81
  6. Step 6: Final answer
    x = 159.77

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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.