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Finding the Fourth Proportional to 84.04, 126.01 and 48.01

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Solution

The fourth proportional to 84.04, 126.01 and 48.01 is: 71.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.04 : 126.01 = 48.01 : x
  2. Step 2: Convert to fraction form
    84.04/126.01 = 48.01/x
  3. Step 3: Cross multiply
    84.04x = 126.01 × 48.01
  4. Step 4: Simplify right side
    84.04x = 6,049.74
  5. Step 5: Solve for x
    x = 6,049.74/84.04
  6. Step 6: Final answer
    x = 71.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.