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Finding the Fourth Proportional to 10.04, 13.80 and 9.77

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Solution

The fourth proportional to 10.04, 13.80 and 9.77 is: 13.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.04 : 13.80 = 9.77 : x
  2. Step 2: Convert to fraction form
    10.04/13.80 = 9.77/x
  3. Step 3: Cross multiply
    10.04x = 13.80 × 9.77
  4. Step 4: Simplify right side
    10.04x = 134.79
  5. Step 5: Solve for x
    x = 134.79/10.04
  6. Step 6: Final answer
    x = 13.43

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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.