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Finding the Fourth Proportional to 117.83, 162.55 and 82.80

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Solution

The fourth proportional to 117.83, 162.55 and 82.80 is: 114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.83 : 162.55 = 82.80 : x
  2. Step 2: Convert to fraction form
    117.83/162.55 = 82.80/x
  3. Step 3: Cross multiply
    117.83x = 162.55 × 82.80
  4. Step 4: Simplify right side
    117.83x = 13,458.93
  5. Step 5: Solve for x
    x = 13,458.93/117.83
  6. Step 6: Final answer
    x = 114.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.