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Finding the Fourth Proportional to 74.74, 111.47 and 73.53

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Solution

The fourth proportional to 74.74, 111.47 and 73.53 is: 109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.74 : 111.47 = 73.53 : x
  2. Step 2: Convert to fraction form
    74.74/111.47 = 73.53/x
  3. Step 3: Cross multiply
    74.74x = 111.47 × 73.53
  4. Step 4: Simplify right side
    74.74x = 8,196.39
  5. Step 5: Solve for x
    x = 8,196.39/74.74
  6. Step 6: Final answer
    x = 109.67

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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.