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Finding the Fourth Proportional to 10.40, 15.59 and 4.30

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Solution

The fourth proportional to 10.40, 15.59 and 4.30 is: 6.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.40 : 15.59 = 4.30 : x
  2. Step 2: Convert to fraction form
    10.40/15.59 = 4.30/x
  3. Step 3: Cross multiply
    10.40x = 15.59 × 4.30
  4. Step 4: Simplify right side
    10.40x = 66.95
  5. Step 5: Solve for x
    x = 66.95/10.40
  6. Step 6: Final answer
    x = 6.44

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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.