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Finding the Fourth Proportional to 7.52, 10.33 and 7.06

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Solution

The fourth proportional to 7.52, 10.33 and 7.06 is: 9.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.52 : 10.33 = 7.06 : x
  2. Step 2: Convert to fraction form
    7.52/10.33 = 7.06/x
  3. Step 3: Cross multiply
    7.52x = 10.33 × 7.06
  4. Step 4: Simplify right side
    7.52x = 72.93
  5. Step 5: Solve for x
    x = 72.93/7.52
  6. Step 6: Final answer
    x = 9.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.