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Finding the Fourth Proportional to 65.69, 90.69 and 51.66

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Solution

The fourth proportional to 65.69, 90.69 and 51.66 is: 71.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.69 : 90.69 = 51.66 : x
  2. Step 2: Convert to fraction form
    65.69/90.69 = 51.66/x
  3. Step 3: Cross multiply
    65.69x = 90.69 × 51.66
  4. Step 4: Simplify right side
    65.69x = 4,685.05
  5. Step 5: Solve for x
    x = 4,685.05/65.69
  6. Step 6: Final answer
    x = 71.32

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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.