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Finding the Fourth Proportional to 7.08, 9.77 and 4.66

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Solution

The fourth proportional to 7.08, 9.77 and 4.66 is: 6.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.08 : 9.77 = 4.66 : x
  2. Step 2: Convert to fraction form
    7.08/9.77 = 4.66/x
  3. Step 3: Cross multiply
    7.08x = 9.77 × 4.66
  4. Step 4: Simplify right side
    7.08x = 45.48
  5. Step 5: Solve for x
    x = 45.48/7.08
  6. Step 6: Final answer
    x = 6.42

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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.