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Finding the Fourth Proportional to 74.09, 102.37 and 56.65

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Solution

The fourth proportional to 74.09, 102.37 and 56.65 is: 78.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.09 : 102.37 = 56.65 : x
  2. Step 2: Convert to fraction form
    74.09/102.37 = 56.65/x
  3. Step 3: Cross multiply
    74.09x = 102.37 × 56.65
  4. Step 4: Simplify right side
    74.09x = 5,799.26
  5. Step 5: Solve for x
    x = 5,799.26/74.09
  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.