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Finding the Fourth Proportional to 48.88, 73.14 and 29.63

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Solution

The fourth proportional to 48.88, 73.14 and 29.63 is: 44.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.88 : 73.14 = 29.63 : x
  2. Step 2: Convert to fraction form
    48.88/73.14 = 29.63/x
  3. Step 3: Cross multiply
    48.88x = 73.14 × 29.63
  4. Step 4: Simplify right side
    48.88x = 2,167.14
  5. Step 5: Solve for x
    x = 2,167.14/48.88
  6. Step 6: Final answer
    x = 44.34

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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.