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Finding the Fourth Proportional to 117.24, 176.47 and 106.06

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Solution

The fourth proportional to 117.24, 176.47 and 106.06 is: 159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.24 : 176.47 = 106.06 : x
  2. Step 2: Convert to fraction form
    117.24/176.47 = 106.06/x
  3. Step 3: Cross multiply
    117.24x = 176.47 × 106.06
  4. Step 4: Simplify right side
    117.24x = 18,716.41
  5. Step 5: Solve for x
    x = 18,716.41/117.24
  6. Step 6: Final answer
    x = 159.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.