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Finding the Fourth Proportional to 68.58, 103.29 and 59.16

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Solution

The fourth proportional to 68.58, 103.29 and 59.16 is: 89.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.58 : 103.29 = 59.16 : x
  2. Step 2: Convert to fraction form
    68.58/103.29 = 59.16/x
  3. Step 3: Cross multiply
    68.58x = 103.29 × 59.16
  4. Step 4: Simplify right side
    68.58x = 6,110.64
  5. Step 5: Solve for x
    x = 6,110.64/68.58
  6. Step 6: Final answer
    x = 89.10

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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.