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Finding the Fourth Proportional to 12.02, 16.58 and 9.70

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Solution

The fourth proportional to 12.02, 16.58 and 9.70 is: 13.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.02 : 16.58 = 9.70 : x
  2. Step 2: Convert to fraction form
    12.02/16.58 = 9.70/x
  3. Step 3: Cross multiply
    12.02x = 16.58 × 9.70
  4. Step 4: Simplify right side
    12.02x = 160.83
  5. Step 5: Solve for x
    x = 160.83/12.02
  6. Step 6: Final answer
    x = 13.38

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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.