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Finding the Fourth Proportional to 46.78, 70.16 and 19.72

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Solution

The fourth proportional to 46.78, 70.16 and 19.72 is: 29.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.78 : 70.16 = 19.72 : x
  2. Step 2: Convert to fraction form
    46.78/70.16 = 19.72/x
  3. Step 3: Cross multiply
    46.78x = 70.16 × 19.72
  4. Step 4: Simplify right side
    46.78x = 1,383.56
  5. Step 5: Solve for x
    x = 1,383.56/46.78
  6. Step 6: Final answer
    x = 29.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.