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Finding the Fourth Proportional to 117.78, 177.33 and 81.93

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Solution

The fourth proportional to 117.78, 177.33 and 81.93 is: 123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.78 : 177.33 = 81.93 : x
  2. Step 2: Convert to fraction form
    117.78/177.33 = 81.93/x
  3. Step 3: Cross multiply
    117.78x = 177.33 × 81.93
  4. Step 4: Simplify right side
    117.78x = 14,528.65
  5. Step 5: Solve for x
    x = 14,528.65/117.78
  6. Step 6: Final answer
    x = 123.35

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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.