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Finding the Fourth Proportional to 117, 176.18 and 104.22

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Solution

The fourth proportional to 117, 176.18 and 104.22 is: 156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 176.18 = 104.22 : x
  2. Step 2: Convert to fraction form
    117/176.18 = 104.22/x
  3. Step 3: Cross multiply
    117x = 176.18 × 104.22
  4. Step 4: Simplify right side
    117x = 18,360.96
  5. Step 5: Solve for x
    x = 18,360.96/117
  6. Step 6: Final answer
    x = 156.93

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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.