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Finding the Fourth Proportional to 73.53, 109.71 and 67.47

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Solution

The fourth proportional to 73.53, 109.71 and 67.47 is: 100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.53 : 109.71 = 67.47 : x
  2. Step 2: Convert to fraction form
    73.53/109.71 = 67.47/x
  3. Step 3: Cross multiply
    73.53x = 109.71 × 67.47
  4. Step 4: Simplify right side
    73.53x = 7,402.13
  5. Step 5: Solve for x
    x = 7,402.13/73.53
  6. Step 6: Final answer
    x = 100.67

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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.