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Finding the Fourth Proportional to 72.06, 107.68 and 59.08

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Solution

The fourth proportional to 72.06, 107.68 and 59.08 is: 88.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.06 : 107.68 = 59.08 : x
  2. Step 2: Convert to fraction form
    72.06/107.68 = 59.08/x
  3. Step 3: Cross multiply
    72.06x = 107.68 × 59.08
  4. Step 4: Simplify right side
    72.06x = 6,361.63
  5. Step 5: Solve for x
    x = 6,361.63/72.06
  6. Step 6: Final answer
    x = 88.28

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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.