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Finding the Fourth Proportional to 10.63, 15.83 and 10.57

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Solution

The fourth proportional to 10.63, 15.83 and 10.57 is: 15.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.63 : 15.83 = 10.57 : x
  2. Step 2: Convert to fraction form
    10.63/15.83 = 10.57/x
  3. Step 3: Cross multiply
    10.63x = 15.83 × 10.57
  4. Step 4: Simplify right side
    10.63x = 167.32
  5. Step 5: Solve for x
    x = 167.32/10.63
  6. Step 6: Final answer
    x = 15.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.