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Finding the Fourth Proportional to 68.65, 102.19 and 65.51

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Solution

The fourth proportional to 68.65, 102.19 and 65.51 is: 97.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.65 : 102.19 = 65.51 : x
  2. Step 2: Convert to fraction form
    68.65/102.19 = 65.51/x
  3. Step 3: Cross multiply
    68.65x = 102.19 × 65.51
  4. Step 4: Simplify right side
    68.65x = 6,694.11
  5. Step 5: Solve for x
    x = 6,694.11/68.65
  6. Step 6: Final answer
    x = 97.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.