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Finding the Fourth Proportional to 61.99, 92.93 and 31.58

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Solution

The fourth proportional to 61.99, 92.93 and 31.58 is: 47.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.99 : 92.93 = 31.58 : x
  2. Step 2: Convert to fraction form
    61.99/92.93 = 31.58/x
  3. Step 3: Cross multiply
    61.99x = 92.93 × 31.58
  4. Step 4: Simplify right side
    61.99x = 2,934.73
  5. Step 5: Solve for x
    x = 2,934.73/61.99
  6. Step 6: Final answer
    x = 47.34

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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.