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Finding the Fourth Proportional to 19.91, 29.88 and 9.77

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Solution

The fourth proportional to 19.91, 29.88 and 9.77 is: 14.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.91 : 29.88 = 9.77 : x
  2. Step 2: Convert to fraction form
    19.91/29.88 = 9.77/x
  3. Step 3: Cross multiply
    19.91x = 29.88 × 9.77
  4. Step 4: Simplify right side
    19.91x = 291.74
  5. Step 5: Solve for x
    x = 291.74/19.91
  6. Step 6: Final answer
    x = 14.65

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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.