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Finding the Fourth Proportional to 61.45, 84.81 and 35.23

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Solution

The fourth proportional to 61.45, 84.81 and 35.23 is: 48.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.45 : 84.81 = 35.23 : x
  2. Step 2: Convert to fraction form
    61.45/84.81 = 35.23/x
  3. Step 3: Cross multiply
    61.45x = 84.81 × 35.23
  4. Step 4: Simplify right side
    61.45x = 2,987.51
  5. Step 5: Solve for x
    x = 2,987.51/61.45
  6. Step 6: Final answer
    x = 48.62

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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.