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Finding the Fourth Proportional to 72.56, 100.02 and 54.14

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Solution

The fourth proportional to 72.56, 100.02 and 54.14 is: 74.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.56 : 100.02 = 54.14 : x
  2. Step 2: Convert to fraction form
    72.56/100.02 = 54.14/x
  3. Step 3: Cross multiply
    72.56x = 100.02 × 54.14
  4. Step 4: Simplify right side
    72.56x = 5,415.08
  5. Step 5: Solve for x
    x = 5,415.08/72.56
  6. Step 6: Final answer
    x = 74.63

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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.