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Finding the Fourth Proportional to 74.91, 103.14 and 56.46

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Solution

The fourth proportional to 74.91, 103.14 and 56.46 is: 77.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.91 : 103.14 = 56.46 : x
  2. Step 2: Convert to fraction form
    74.91/103.14 = 56.46/x
  3. Step 3: Cross multiply
    74.91x = 103.14 × 56.46
  4. Step 4: Simplify right side
    74.91x = 5,823.28
  5. Step 5: Solve for x
    x = 5,823.28/74.91
  6. Step 6: Final answer
    x = 77.74

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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.