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Finding the Fourth Proportional to 74.43, 102.60 and 56.88

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Solution

The fourth proportional to 74.43, 102.60 and 56.88 is: 78.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.43 : 102.60 = 56.88 : x
  2. Step 2: Convert to fraction form
    74.43/102.60 = 56.88/x
  3. Step 3: Cross multiply
    74.43x = 102.60 × 56.88
  4. Step 4: Simplify right side
    74.43x = 5,835.89
  5. Step 5: Solve for x
    x = 5,835.89/74.43
  6. Step 6: Final answer
    x = 78.41

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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.