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Finding the Fourth Proportional to 75.32, 112.35 and 73.05

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Solution

The fourth proportional to 75.32, 112.35 and 73.05 is: 108.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.32 : 112.35 = 73.05 : x
  2. Step 2: Convert to fraction form
    75.32/112.35 = 73.05/x
  3. Step 3: Cross multiply
    75.32x = 112.35 × 73.05
  4. Step 4: Simplify right side
    75.32x = 8,206.61
  5. Step 5: Solve for x
    x = 8,206.61/75.32
  6. Step 6: Final answer
    x = 108.95

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Why These Related Problems?

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