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Finding the Fourth Proportional to 117.78, 162.56 and 66.04

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Solution

The fourth proportional to 117.78, 162.56 and 66.04 is: 91.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.78 : 162.56 = 66.04 : x
  2. Step 2: Convert to fraction form
    117.78/162.56 = 66.04/x
  3. Step 3: Cross multiply
    117.78x = 162.56 × 66.04
  4. Step 4: Simplify right side
    117.78x = 10,735.46
  5. Step 5: Solve for x
    x = 10,735.46/117.78
  6. Step 6: Final answer
    x = 91.15

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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.