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Finding the Fourth Proportional to 68.62, 94.56 and 65.06

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Solution

The fourth proportional to 68.62, 94.56 and 65.06 is: 89.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.62 : 94.56 = 65.06 : x
  2. Step 2: Convert to fraction form
    68.62/94.56 = 65.06/x
  3. Step 3: Cross multiply
    68.62x = 94.56 × 65.06
  4. Step 4: Simplify right side
    68.62x = 6,152.07
  5. Step 5: Solve for x
    x = 6,152.07/68.62
  6. Step 6: Final answer
    x = 89.65

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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.