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Finding the Fourth Proportional to 105.73, 145.93 and 68.88

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Solution

The fourth proportional to 105.73, 145.93 and 68.88 is: 95.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.73 : 145.93 = 68.88 : x
  2. Step 2: Convert to fraction form
    105.73/145.93 = 68.88/x
  3. Step 3: Cross multiply
    105.73x = 145.93 × 68.88
  4. Step 4: Simplify right side
    105.73x = 10,051.66
  5. Step 5: Solve for x
    x = 10,051.66/105.73
  6. Step 6: Final answer
    x = 95.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.