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Finding the Fourth Proportional to 46.50, 64.14 and 34.20

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Solution

The fourth proportional to 46.50, 64.14 and 34.20 is: 47.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.50 : 64.14 = 34.20 : x
  2. Step 2: Convert to fraction form
    46.50/64.14 = 34.20/x
  3. Step 3: Cross multiply
    46.50x = 64.14 × 34.20
  4. Step 4: Simplify right side
    46.50x = 2,193.59
  5. Step 5: Solve for x
    x = 2,193.59/46.50
  6. Step 6: Final answer
    x = 47.17

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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.