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Finding the Fourth Proportional to 74.83, 103.22 and 51.53

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Solution

The fourth proportional to 74.83, 103.22 and 51.53 is: 71.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.83 : 103.22 = 51.53 : x
  2. Step 2: Convert to fraction form
    74.83/103.22 = 51.53/x
  3. Step 3: Cross multiply
    74.83x = 103.22 × 51.53
  4. Step 4: Simplify right side
    74.83x = 5,318.93
  5. Step 5: Solve for x
    x = 5,318.93/74.83
  6. Step 6: Final answer
    x = 71.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.