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Finding the Fourth Proportional to 74.60, 102.92 and 56.14

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Solution

The fourth proportional to 74.60, 102.92 and 56.14 is: 77.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.60 : 102.92 = 56.14 : x
  2. Step 2: Convert to fraction form
    74.60/102.92 = 56.14/x
  3. Step 3: Cross multiply
    74.60x = 102.92 × 56.14
  4. Step 4: Simplify right side
    74.60x = 5,777.93
  5. Step 5: Solve for x
    x = 5,777.93/74.60
  6. Step 6: Final answer
    x = 77.45

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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.