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Finding the Fourth Proportional to 9.77, 14.65 and 7.52

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Solution

The fourth proportional to 9.77, 14.65 and 7.52 is: 11.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.77 : 14.65 = 7.52 : x
  2. Step 2: Convert to fraction form
    9.77/14.65 = 7.52/x
  3. Step 3: Cross multiply
    9.77x = 14.65 × 7.52
  4. Step 4: Simplify right side
    9.77x = 110.08
  5. Step 5: Solve for x
    x = 110.08/9.77
  6. Step 6: Final answer
    x = 11.27

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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.