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Finding the Fourth Proportional to 46.93, 70.32 and 22.84

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Solution

The fourth proportional to 46.93, 70.32 and 22.84 is: 34.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.93 : 70.32 = 22.84 : x
  2. Step 2: Convert to fraction form
    46.93/70.32 = 22.84/x
  3. Step 3: Cross multiply
    46.93x = 70.32 × 22.84
  4. Step 4: Simplify right side
    46.93x = 1,606.11
  5. Step 5: Solve for x
    x = 1,606.11/46.93
  6. Step 6: Final answer
    x = 34.22

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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.