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Finding the Fourth Proportional to 61.49, 84.81 and 51.23

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Solution

The fourth proportional to 61.49, 84.81 and 51.23 is: 70.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.49 : 84.81 = 51.23 : x
  2. Step 2: Convert to fraction form
    61.49/84.81 = 51.23/x
  3. Step 3: Cross multiply
    61.49x = 84.81 × 51.23
  4. Step 4: Simplify right side
    61.49x = 4,345.22
  5. Step 5: Solve for x
    x = 4,345.22/61.49
  6. Step 6: Final answer
    x = 70.66

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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.