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Finding the Fourth Proportional to 74.25, 102.57 and 56.66

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Solution

The fourth proportional to 74.25, 102.57 and 56.66 is: 78.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.25 : 102.57 = 56.66 : x
  2. Step 2: Convert to fraction form
    74.25/102.57 = 56.66/x
  3. Step 3: Cross multiply
    74.25x = 102.57 × 56.66
  4. Step 4: Simplify right side
    74.25x = 5,811.62
  5. Step 5: Solve for x
    x = 5,811.62/74.25
  6. Step 6: Final answer
    x = 78.27

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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.