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Finding the Fourth Proportional to 46.76, 64.49 and 30.14

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Solution

The fourth proportional to 46.76, 64.49 and 30.14 is: 41.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.76 : 64.49 = 30.14 : x
  2. Step 2: Convert to fraction form
    46.76/64.49 = 30.14/x
  3. Step 3: Cross multiply
    46.76x = 64.49 × 30.14
  4. Step 4: Simplify right side
    46.76x = 1,943.26
  5. Step 5: Solve for x
    x = 1,943.26/46.76
  6. Step 6: Final answer
    x = 41.56

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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.