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Finding the Fourth Proportional to 5.51, 7.62 and 4.30

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Solution

The fourth proportional to 5.51, 7.62 and 4.30 is: 5.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.51 : 7.62 = 4.30 : x
  2. Step 2: Convert to fraction form
    5.51/7.62 = 4.30/x
  3. Step 3: Cross multiply
    5.51x = 7.62 × 4.30
  4. Step 4: Simplify right side
    5.51x = 32.71
  5. Step 5: Solve for x
    x = 32.71/5.51
  6. Step 6: Final answer
    x = 5.94

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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.