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Finding the Fourth Proportional to 46.20, 64.20 and 46.20

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Solution

The fourth proportional to 46.20, 64.20 and 46.20 is: 64.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.20 : 64.20 = 46.20 : x
  2. Step 2: Convert to fraction form
    46.20/64.20 = 46.20/x
  3. Step 3: Cross multiply
    46.20x = 64.20 × 46.20
  4. Step 4: Simplify right side
    46.20x = 2,966.04
  5. Step 5: Solve for x
    x = 2,966.04/46.20
  6. Step 6: Final answer
    x = 64.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.