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Finding the Fourth Proportional to 61.23, 84.57 and 51.63

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Solution

The fourth proportional to 61.23, 84.57 and 51.63 is: 71.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.23 : 84.57 = 51.63 : x
  2. Step 2: Convert to fraction form
    61.23/84.57 = 51.63/x
  3. Step 3: Cross multiply
    61.23x = 84.57 × 51.63
  4. Step 4: Simplify right side
    61.23x = 4,366.35
  5. Step 5: Solve for x
    x = 4,366.35/61.23
  6. Step 6: Final answer
    x = 71.31

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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.