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Finding the Fourth Proportional to 5.08, 7.64 and 5.08

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Solution

The fourth proportional to 5.08, 7.64 and 5.08 is: 7.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.08 : 7.64 = 5.08 : x
  2. Step 2: Convert to fraction form
    5.08/7.64 = 5.08/x
  3. Step 3: Cross multiply
    5.08x = 7.64 × 5.08
  4. Step 4: Simplify right side
    5.08x = 38.81
  5. Step 5: Solve for x
    x = 38.81/5.08
  6. Step 6: Final answer
    x = 7.64

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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.