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Finding the Fourth Proportional to 4.90, 6.75 and 4.61

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Solution

The fourth proportional to 4.90, 6.75 and 4.61 is: 6.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.90 : 6.75 = 4.61 : x
  2. Step 2: Convert to fraction form
    4.90/6.75 = 4.61/x
  3. Step 3: Cross multiply
    4.90x = 6.75 × 4.61
  4. Step 4: Simplify right side
    4.90x = 31.12
  5. Step 5: Solve for x
    x = 31.12/4.90
  6. Step 6: Final answer
    x = 6.35

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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.