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Finding the Fourth Proportional to 67.70, 93.30 and 65

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Solution

The fourth proportional to 67.70, 93.30 and 65 is: 89.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.70 : 93.30 = 65 : x
  2. Step 2: Convert to fraction form
    67.70/93.30 = 65/x
  3. Step 3: Cross multiply
    67.70x = 93.30 × 65
  4. Step 4: Simplify right side
    67.70x = 6,064.50
  5. Step 5: Solve for x
    x = 6,064.50/67.70
  6. Step 6: Final answer
    x = 89.58

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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.