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Finding the Fourth Proportional to 10.04, 15.06 and 5.23

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Solution

The fourth proportional to 10.04, 15.06 and 5.23 is: 7.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.04 : 15.06 = 5.23 : x
  2. Step 2: Convert to fraction form
    10.04/15.06 = 5.23/x
  3. Step 3: Cross multiply
    10.04x = 15.06 × 5.23
  4. Step 4: Simplify right side
    10.04x = 78.66
  5. Step 5: Solve for x
    x = 78.66/10.04
  6. Step 6: Final answer
    x = 7.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.