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Finding the Fourth Proportional to 73.47, 110.13 and 34.95

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Solution

The fourth proportional to 73.47, 110.13 and 34.95 is: 52.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.47 : 110.13 = 34.95 : x
  2. Step 2: Convert to fraction form
    73.47/110.13 = 34.95/x
  3. Step 3: Cross multiply
    73.47x = 110.13 × 34.95
  4. Step 4: Simplify right side
    73.47x = 3,849.41
  5. Step 5: Solve for x
    x = 3,849.41/73.47
  6. Step 6: Final answer
    x = 52.40

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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.