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Finding the Fourth Proportional to 84.75, 126.51 and 74.50

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Solution

The fourth proportional to 84.75, 126.51 and 74.50 is: 111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.75 : 126.51 = 74.50 : x
  2. Step 2: Convert to fraction form
    84.75/126.51 = 74.50/x
  3. Step 3: Cross multiply
    84.75x = 126.51 × 74.50
  4. Step 4: Simplify right side
    84.75x = 9,423.99
  5. Step 5: Solve for x
    x = 9,423.99/84.75
  6. Step 6: Final answer
    x = 111.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.