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Finding the Fourth Proportional to 15.77, 21.80 and 14.12

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Solution

The fourth proportional to 15.77, 21.80 and 14.12 is: 19.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.77 : 21.80 = 14.12 : x
  2. Step 2: Convert to fraction form
    15.77/21.80 = 14.12/x
  3. Step 3: Cross multiply
    15.77x = 21.80 × 14.12
  4. Step 4: Simplify right side
    15.77x = 307.75
  5. Step 5: Solve for x
    x = 307.75/15.77
  6. Step 6: Final answer
    x = 19.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.