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Finding the Fourth Proportional to 74.77, 103.19 and 56.32

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Solution

The fourth proportional to 74.77, 103.19 and 56.32 is: 77.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.77 : 103.19 = 56.32 : x
  2. Step 2: Convert to fraction form
    74.77/103.19 = 56.32/x
  3. Step 3: Cross multiply
    74.77x = 103.19 × 56.32
  4. Step 4: Simplify right side
    74.77x = 5,811.66
  5. Step 5: Solve for x
    x = 5,811.66/74.77
  6. Step 6: Final answer
    x = 77.73

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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.