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Finding the Fourth Proportional to 7.50, 10.35 and 7.29

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Solution

The fourth proportional to 7.50, 10.35 and 7.29 is: 10.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.50 : 10.35 = 7.29 : x
  2. Step 2: Convert to fraction form
    7.50/10.35 = 7.29/x
  3. Step 3: Cross multiply
    7.50x = 10.35 × 7.29
  4. Step 4: Simplify right side
    7.50x = 75.45
  5. Step 5: Solve for x
    x = 75.45/7.50
  6. Step 6: Final answer
    x = 10.06

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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.