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Finding the Fourth Proportional to 72.02, 99.32 and 47.42

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Solution

The fourth proportional to 72.02, 99.32 and 47.42 is: 65.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.02 : 99.32 = 47.42 : x
  2. Step 2: Convert to fraction form
    72.02/99.32 = 47.42/x
  3. Step 3: Cross multiply
    72.02x = 99.32 × 47.42
  4. Step 4: Simplify right side
    72.02x = 4,709.02
  5. Step 5: Solve for x
    x = 4,709.02/72.02
  6. Step 6: Final answer
    x = 65.39

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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.