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Finding the Fourth Proportional to 10.10, 13.91 and 9.77

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Solution

The fourth proportional to 10.10, 13.91 and 9.77 is: 13.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.10 : 13.91 = 9.77 : x
  2. Step 2: Convert to fraction form
    10.10/13.91 = 9.77/x
  3. Step 3: Cross multiply
    10.10x = 13.91 × 9.77
  4. Step 4: Simplify right side
    10.10x = 135.78
  5. Step 5: Solve for x
    x = 135.78/10.10
  6. Step 6: Final answer
    x = 13.45

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Why These Related Problems?

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