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Finding the Fourth Proportional to 80.16, 110.62 and 45.19

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Solution

The fourth proportional to 80.16, 110.62 and 45.19 is: 62.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.16 : 110.62 = 45.19 : x
  2. Step 2: Convert to fraction form
    80.16/110.62 = 45.19/x
  3. Step 3: Cross multiply
    80.16x = 110.62 × 45.19
  4. Step 4: Simplify right side
    80.16x = 4,998.14
  5. Step 5: Solve for x
    x = 4,998.14/80.16
  6. Step 6: Final answer
    x = 62.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.