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Finding the Fourth Proportional to 74.70, 102.96 and 56.25

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Solution

The fourth proportional to 74.70, 102.96 and 56.25 is: 77.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.70 : 102.96 = 56.25 : x
  2. Step 2: Convert to fraction form
    74.70/102.96 = 56.25/x
  3. Step 3: Cross multiply
    74.70x = 102.96 × 56.25
  4. Step 4: Simplify right side
    74.70x = 5,791.50
  5. Step 5: Solve for x
    x = 5,791.50/74.70
  6. Step 6: Final answer
    x = 77.53

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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.