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Finding the Fourth Proportional to 66.45, 99.87 and 49.35

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Solution

The fourth proportional to 66.45, 99.87 and 49.35 is: 74.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.45 : 99.87 = 49.35 : x
  2. Step 2: Convert to fraction form
    66.45/99.87 = 49.35/x
  3. Step 3: Cross multiply
    66.45x = 99.87 × 49.35
  4. Step 4: Simplify right side
    66.45x = 4,928.58
  5. Step 5: Solve for x
    x = 4,928.58/66.45
  6. Step 6: Final answer
    x = 74.17

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