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Finding the Fourth Proportional to 61.90, 92.41 and 51.77

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Solution

The fourth proportional to 61.90, 92.41 and 51.77 is: 77.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.90 : 92.41 = 51.77 : x
  2. Step 2: Convert to fraction form
    61.90/92.41 = 51.77/x
  3. Step 3: Cross multiply
    61.90x = 92.41 × 51.77
  4. Step 4: Simplify right side
    61.90x = 4,784.17
  5. Step 5: Solve for x
    x = 4,784.17/61.90
  6. Step 6: Final answer
    x = 77.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.