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Finding the Fourth Proportional to 68.94, 102.86 and 58.68

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Solution

The fourth proportional to 68.94, 102.86 and 58.68 is: 87.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.94 : 102.86 = 58.68 : x
  2. Step 2: Convert to fraction form
    68.94/102.86 = 58.68/x
  3. Step 3: Cross multiply
    68.94x = 102.86 × 58.68
  4. Step 4: Simplify right side
    68.94x = 6,035.53
  5. Step 5: Solve for x
    x = 6,035.53/68.94
  6. Step 6: Final answer
    x = 87.55

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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.