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Finding the Fourth Proportional to 1.75, 2.63 and 1.42

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Solution

The fourth proportional to 1.75, 2.63 and 1.42 is: 2.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.75 : 2.63 = 1.42 : x
  2. Step 2: Convert to fraction form
    1.75/2.63 = 1.42/x
  3. Step 3: Cross multiply
    1.75x = 2.63 × 1.42
  4. Step 4: Simplify right side
    1.75x = 3.72
  5. Step 5: Solve for x
    x = 3.72/1.75
  6. Step 6: Final answer
    x = 2.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.