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Finding the Fourth Proportional to 1.37, 1.88 and 0.96

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Solution

The fourth proportional to 1.37, 1.88 and 0.96 is: 1.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.37 : 1.88 = 0.96 : x
  2. Step 2: Convert to fraction form
    1.37/1.88 = 0.96/x
  3. Step 3: Cross multiply
    1.37x = 1.88 × 0.96
  4. Step 4: Simplify right side
    1.37x = 1.81
  5. Step 5: Solve for x
    x = 1.81/1.37
  6. Step 6: Final answer
    x = 1.33

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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.