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Finding the Fourth Proportional to 68.12, 102.65 and 59.08

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Solution

The fourth proportional to 68.12, 102.65 and 59.08 is: 89.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.12 : 102.65 = 59.08 : x
  2. Step 2: Convert to fraction form
    68.12/102.65 = 59.08/x
  3. Step 3: Cross multiply
    68.12x = 102.65 × 59.08
  4. Step 4: Simplify right side
    68.12x = 6,064.56
  5. Step 5: Solve for x
    x = 6,064.56/68.12
  6. Step 6: Final answer
    x = 89.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.