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Finding the Fourth Proportional to 10.80, 14.77 and 10.74

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Solution

The fourth proportional to 10.80, 14.77 and 10.74 is: 14.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.80 : 14.77 = 10.74 : x
  2. Step 2: Convert to fraction form
    10.80/14.77 = 10.74/x
  3. Step 3: Cross multiply
    10.80x = 14.77 × 10.74
  4. Step 4: Simplify right side
    10.80x = 158.63
  5. Step 5: Solve for x
    x = 158.63/10.80
  6. Step 6: Final answer
    x = 14.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.