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Finding the Fourth Proportional to 75.98, 113.12 and 73.32

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Solution

The fourth proportional to 75.98, 113.12 and 73.32 is: 109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.98 : 113.12 = 73.32 : x
  2. Step 2: Convert to fraction form
    75.98/113.12 = 73.32/x
  3. Step 3: Cross multiply
    75.98x = 113.12 × 73.32
  4. Step 4: Simplify right side
    75.98x = 8,293.59
  5. Step 5: Solve for x
    x = 8,293.59/75.98
  6. Step 6: Final answer
    x = 109.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.