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Finding the Fourth Proportional to 39.83, 59.76 and 14.16

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Solution

The fourth proportional to 39.83, 59.76 and 14.16 is: 21.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.83 : 59.76 = 14.16 : x
  2. Step 2: Convert to fraction form
    39.83/59.76 = 14.16/x
  3. Step 3: Cross multiply
    39.83x = 59.76 × 14.16
  4. Step 4: Simplify right side
    39.83x = 846.42
  5. Step 5: Solve for x
    x = 846.42/39.83
  6. Step 6: Final answer
    x = 21.25

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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.