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Finding the Fourth Proportional to 72.46, 100.06 and 56.06

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Solution

The fourth proportional to 72.46, 100.06 and 56.06 is: 77.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.46 : 100.06 = 56.06 : x
  2. Step 2: Convert to fraction form
    72.46/100.06 = 56.06/x
  3. Step 3: Cross multiply
    72.46x = 100.06 × 56.06
  4. Step 4: Simplify right side
    72.46x = 5,608.72
  5. Step 5: Solve for x
    x = 5,608.72/72.46
  6. Step 6: Final answer
    x = 77.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.