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Finding the Fourth Proportional to 75.15, 112.19 and 66.06

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Solution

The fourth proportional to 75.15, 112.19 and 66.06 is: 98.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.15 : 112.19 = 66.06 : x
  2. Step 2: Convert to fraction form
    75.15/112.19 = 66.06/x
  3. Step 3: Cross multiply
    75.15x = 112.19 × 66.06
  4. Step 4: Simplify right side
    75.15x = 7,410.94
  5. Step 5: Solve for x
    x = 7,410.94/75.15
  6. Step 6: Final answer
    x = 98.62

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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.