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Finding the Fourth Proportional to 21, 31.48 and 19.86

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Solution

The fourth proportional to 21, 31.48 and 19.86 is: 29.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21 : 31.48 = 19.86 : x
  2. Step 2: Convert to fraction form
    21/31.48 = 19.86/x
  3. Step 3: Cross multiply
    21x = 31.48 × 19.86
  4. Step 4: Simplify right side
    21x = 625.19
  5. Step 5: Solve for x
    x = 625.19/21
  6. Step 6: Final answer
    x = 29.77

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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.