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Finding the Fourth Proportional to 1.61, 2.22 and 1.07

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Solution

The fourth proportional to 1.61, 2.22 and 1.07 is: 1.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.61 : 2.22 = 1.07 : x
  2. Step 2: Convert to fraction form
    1.61/2.22 = 1.07/x
  3. Step 3: Cross multiply
    1.61x = 2.22 × 1.07
  4. Step 4: Simplify right side
    1.61x = 2.38
  5. Step 5: Solve for x
    x = 2.38/1.61
  6. Step 6: Final answer
    x = 1.48

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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.