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Finding the Fourth Proportional to 65.01, 89.74 and 49.47

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Solution

The fourth proportional to 65.01, 89.74 and 49.47 is: 68.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.01 : 89.74 = 49.47 : x
  2. Step 2: Convert to fraction form
    65.01/89.74 = 49.47/x
  3. Step 3: Cross multiply
    65.01x = 89.74 × 49.47
  4. Step 4: Simplify right side
    65.01x = 4,439.44
  5. Step 5: Solve for x
    x = 4,439.44/65.01
  6. Step 6: Final answer
    x = 68.29

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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.