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Finding the Fourth Proportional to 66.40, 99.62 and 35.95

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Solution

The fourth proportional to 66.40, 99.62 and 35.95 is: 53.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.40 : 99.62 = 35.95 : x
  2. Step 2: Convert to fraction form
    66.40/99.62 = 35.95/x
  3. Step 3: Cross multiply
    66.40x = 99.62 × 35.95
  4. Step 4: Simplify right side
    66.40x = 3,581.16
  5. Step 5: Solve for x
    x = 3,581.16/66.40
  6. Step 6: Final answer
    x = 53.94

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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.