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Finding the Fourth Proportional to 147.24, 220.97 and 56.00

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Solution

The fourth proportional to 147.24, 220.97 and 56.00 is: 84.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.24 : 220.97 = 56.00 : x
  2. Step 2: Convert to fraction form
    147.24/220.97 = 56.00/x
  3. Step 3: Cross multiply
    147.24x = 220.97 × 56.00
  4. Step 4: Simplify right side
    147.24x = 12,375.01
  5. Step 5: Solve for x
    x = 12,375.01/147.24
  6. Step 6: Final answer
    x = 84.05

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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.