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Finding the Fourth Proportional to 32.20, 46.06 and 32.20

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Solution

The fourth proportional to 32.20, 46.06 and 32.20 is: 46.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.20 : 46.06 = 32.20 : x
  2. Step 2: Convert to fraction form
    32.20/46.06 = 32.20/x
  3. Step 3: Cross multiply
    32.20x = 46.06 × 32.20
  4. Step 4: Simplify right side
    32.20x = 1,483.13
  5. Step 5: Solve for x
    x = 1,483.13/32.20
  6. Step 6: Final answer
    x = 46.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.