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Finding the Fourth Proportional to 24.30, 36.46 and 10.77

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Solution

The fourth proportional to 24.30, 36.46 and 10.77 is: 16.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.30 : 36.46 = 10.77 : x
  2. Step 2: Convert to fraction form
    24.30/36.46 = 10.77/x
  3. Step 3: Cross multiply
    24.30x = 36.46 × 10.77
  4. Step 4: Simplify right side
    24.30x = 392.67
  5. Step 5: Solve for x
    x = 392.67/24.30
  6. Step 6: Final answer
    x = 16.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.