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Finding the Fourth Proportional to 66.39, 99.49 and 45.80

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Solution

The fourth proportional to 66.39, 99.49 and 45.80 is: 68.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.39 : 99.49 = 45.80 : x
  2. Step 2: Convert to fraction form
    66.39/99.49 = 45.80/x
  3. Step 3: Cross multiply
    66.39x = 99.49 × 45.80
  4. Step 4: Simplify right side
    66.39x = 4,557.18
  5. Step 5: Solve for x
    x = 4,557.18/66.39
  6. Step 6: Final answer
    x = 68.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.