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Finding the Fourth Proportional to 4.75, 6.56 and 4.07

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Solution

The fourth proportional to 4.75, 6.56 and 4.07 is: 5.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.75 : 6.56 = 4.07 : x
  2. Step 2: Convert to fraction form
    4.75/6.56 = 4.07/x
  3. Step 3: Cross multiply
    4.75x = 6.56 × 4.07
  4. Step 4: Simplify right side
    4.75x = 26.68
  5. Step 5: Solve for x
    x = 26.68/4.75
  6. Step 6: Final answer
    x = 5.62

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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.