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Finding the Fourth Proportional to 66.04, 98.87 and 49.00

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Solution

The fourth proportional to 66.04, 98.87 and 49.00 is: 73.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.04 : 98.87 = 49.00 : x
  2. Step 2: Convert to fraction form
    66.04/98.87 = 49.00/x
  3. Step 3: Cross multiply
    66.04x = 98.87 × 49.00
  4. Step 4: Simplify right side
    66.04x = 4,844.14
  5. Step 5: Solve for x
    x = 4,844.14/66.04
  6. Step 6: Final answer
    x = 73.35

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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.