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Finding the Fourth Proportional to 61.66, 92.43 and 35.98

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Solution

The fourth proportional to 61.66, 92.43 and 35.98 is: 53.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.66 : 92.43 = 35.98 : x
  2. Step 2: Convert to fraction form
    61.66/92.43 = 35.98/x
  3. Step 3: Cross multiply
    61.66x = 92.43 × 35.98
  4. Step 4: Simplify right side
    61.66x = 3,325.63
  5. Step 5: Solve for x
    x = 3,325.63/61.66
  6. Step 6: Final answer
    x = 53.93

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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.