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Finding the Fourth Proportional to 80.07, 110.47 and 45.10

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Solution

The fourth proportional to 80.07, 110.47 and 45.10 is: 62.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.07 : 110.47 = 45.10 : x
  2. Step 2: Convert to fraction form
    80.07/110.47 = 45.10/x
  3. Step 3: Cross multiply
    80.07x = 110.47 × 45.10
  4. Step 4: Simplify right side
    80.07x = 4,981.53
  5. Step 5: Solve for x
    x = 4,981.53/80.07
  6. Step 6: Final answer
    x = 62.22

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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.