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Finding the Fourth Proportional to 68.55, 102.32 and 63.99

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Solution

The fourth proportional to 68.55, 102.32 and 63.99 is: 95.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.55 : 102.32 = 63.99 : x
  2. Step 2: Convert to fraction form
    68.55/102.32 = 63.99/x
  3. Step 3: Cross multiply
    68.55x = 102.32 × 63.99
  4. Step 4: Simplify right side
    68.55x = 6,547.38
  5. Step 5: Solve for x
    x = 6,547.38/68.55
  6. Step 6: Final answer
    x = 95.52

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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.