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Finding the Fourth Proportional to 46.84, 70.54 and 41.20

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Solution

The fourth proportional to 46.84, 70.54 and 41.20 is: 62.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.84 : 70.54 = 41.20 : x
  2. Step 2: Convert to fraction form
    46.84/70.54 = 41.20/x
  3. Step 3: Cross multiply
    46.84x = 70.54 × 41.20
  4. Step 4: Simplify right side
    46.84x = 2,905.69
  5. Step 5: Solve for x
    x = 2,905.69/46.84
  6. Step 6: Final answer
    x = 62.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.