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Finding the Fourth Proportional to 73.69, 110.53 and 19.58

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Solution

The fourth proportional to 73.69, 110.53 and 19.58 is: 29.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.69 : 110.53 = 19.58 : x
  2. Step 2: Convert to fraction form
    73.69/110.53 = 19.58/x
  3. Step 3: Cross multiply
    73.69x = 110.53 × 19.58
  4. Step 4: Simplify right side
    73.69x = 2,164.27
  5. Step 5: Solve for x
    x = 2,164.27/73.69
  6. Step 6: Final answer
    x = 29.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.