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Finding the Fourth Proportional to 7.45, 10.15 and 7.40

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Solution

The fourth proportional to 7.45, 10.15 and 7.40 is: 10.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.45 : 10.15 = 7.40 : x
  2. Step 2: Convert to fraction form
    7.45/10.15 = 7.40/x
  3. Step 3: Cross multiply
    7.45x = 10.15 × 7.40
  4. Step 4: Simplify right side
    7.45x = 75.12
  5. Step 5: Solve for x
    x = 75.12/7.45
  6. Step 6: Final answer
    x = 10.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.