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Finding the Fourth Proportional to 72.28, 99.78 and 46.42

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Solution

The fourth proportional to 72.28, 99.78 and 46.42 is: 64.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.28 : 99.78 = 46.42 : x
  2. Step 2: Convert to fraction form
    72.28/99.78 = 46.42/x
  3. Step 3: Cross multiply
    72.28x = 99.78 × 46.42
  4. Step 4: Simplify right side
    72.28x = 4,631.79
  5. Step 5: Solve for x
    x = 4,631.79/72.28
  6. Step 6: Final answer
    x = 64.08

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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.