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Finding the Fourth Proportional to 105.76, 145.88 and 73.04

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Solution

The fourth proportional to 105.76, 145.88 and 73.04 is: 100.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.76 : 145.88 = 73.04 : x
  2. Step 2: Convert to fraction form
    105.76/145.88 = 73.04/x
  3. Step 3: Cross multiply
    105.76x = 145.88 × 73.04
  4. Step 4: Simplify right side
    105.76x = 10,655.08
  5. Step 5: Solve for x
    x = 10,655.08/105.76
  6. Step 6: Final answer
    x = 100.75

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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.