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Finding the Fourth Proportional to 46.84, 70.14 and 32.56

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Solution

The fourth proportional to 46.84, 70.14 and 32.56 is: 48.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.84 : 70.14 = 32.56 : x
  2. Step 2: Convert to fraction form
    46.84/70.14 = 32.56/x
  3. Step 3: Cross multiply
    46.84x = 70.14 × 32.56
  4. Step 4: Simplify right side
    46.84x = 2,283.76
  5. Step 5: Solve for x
    x = 2,283.76/46.84
  6. Step 6: Final answer
    x = 48.76

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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.