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Finding the Fourth Proportional to 74.75, 103.04 and 56.76

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Solution

The fourth proportional to 74.75, 103.04 and 56.76 is: 78.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.75 : 103.04 = 56.76 : x
  2. Step 2: Convert to fraction form
    74.75/103.04 = 56.76/x
  3. Step 3: Cross multiply
    74.75x = 103.04 × 56.76
  4. Step 4: Simplify right side
    74.75x = 5,848.55
  5. Step 5: Solve for x
    x = 5,848.55/74.75
  6. Step 6: Final answer
    x = 78.24

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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.