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Finding the Fourth Proportional to 74.66, 103.06 and 54.95

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Solution

The fourth proportional to 74.66, 103.06 and 54.95 is: 75.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.66 : 103.06 = 54.95 : x
  2. Step 2: Convert to fraction form
    74.66/103.06 = 54.95/x
  3. Step 3: Cross multiply
    74.66x = 103.06 × 54.95
  4. Step 4: Simplify right side
    74.66x = 5,663.47
  5. Step 5: Solve for x
    x = 5,663.47/74.66
  6. Step 6: Final answer
    x = 75.86

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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.