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Finding the Fourth Proportional to 74.83, 103.32 and 47.22

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Solution

The fourth proportional to 74.83, 103.32 and 47.22 is: 65.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.83 : 103.32 = 47.22 : x
  2. Step 2: Convert to fraction form
    74.83/103.32 = 47.22/x
  3. Step 3: Cross multiply
    74.83x = 103.32 × 47.22
  4. Step 4: Simplify right side
    74.83x = 4,878.77
  5. Step 5: Solve for x
    x = 4,878.77/74.83
  6. Step 6: Final answer
    x = 65.20

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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.