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Finding the Fourth Proportional to 65.36, 90.14 and 44.66

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Solution

The fourth proportional to 65.36, 90.14 and 44.66 is: 61.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.36 : 90.14 = 44.66 : x
  2. Step 2: Convert to fraction form
    65.36/90.14 = 44.66/x
  3. Step 3: Cross multiply
    65.36x = 90.14 × 44.66
  4. Step 4: Simplify right side
    65.36x = 4,025.65
  5. Step 5: Solve for x
    x = 4,025.65/65.36
  6. Step 6: Final answer
    x = 61.59

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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.