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Finding the Fourth Proportional to 61.50, 92.29 and 23.50

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Solution

The fourth proportional to 61.50, 92.29 and 23.50 is: 35.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.50 : 92.29 = 23.50 : x
  2. Step 2: Convert to fraction form
    61.50/92.29 = 23.50/x
  3. Step 3: Cross multiply
    61.50x = 92.29 × 23.50
  4. Step 4: Simplify right side
    61.50x = 2,168.82
  5. Step 5: Solve for x
    x = 2,168.82/61.50
  6. Step 6: Final answer
    x = 35.27

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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.