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Finding the Fourth Proportional to 61.74, 92.45 and 52.09

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Solution

The fourth proportional to 61.74, 92.45 and 52.09 is: 78.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.74 : 92.45 = 52.09 : x
  2. Step 2: Convert to fraction form
    61.74/92.45 = 52.09/x
  3. Step 3: Cross multiply
    61.74x = 92.45 × 52.09
  4. Step 4: Simplify right side
    61.74x = 4,815.58
  5. Step 5: Solve for x
    x = 4,815.58/61.74
  6. Step 6: Final answer
    x = 78.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.