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Finding the Fourth Proportional to 73.53, 109.80 and 70.29

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Solution

The fourth proportional to 73.53, 109.80 and 70.29 is: 104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.53 : 109.80 = 70.29 : x
  2. Step 2: Convert to fraction form
    73.53/109.80 = 70.29/x
  3. Step 3: Cross multiply
    73.53x = 109.80 × 70.29
  4. Step 4: Simplify right side
    73.53x = 7,717.84
  5. Step 5: Solve for x
    x = 7,717.84/73.53
  6. Step 6: Final answer
    x = 104.96

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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.