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Finding the Fourth Proportional to 48.77, 73.10 and 23.06

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Solution

The fourth proportional to 48.77, 73.10 and 23.06 is: 34.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.77 : 73.10 = 23.06 : x
  2. Step 2: Convert to fraction form
    48.77/73.10 = 23.06/x
  3. Step 3: Cross multiply
    48.77x = 73.10 × 23.06
  4. Step 4: Simplify right side
    48.77x = 1,685.69
  5. Step 5: Solve for x
    x = 1,685.69/48.77
  6. Step 6: Final answer
    x = 34.56

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