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Finding the Fourth Proportional to 1.65, 2.47 and 1.48

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Solution

The fourth proportional to 1.65, 2.47 and 1.48 is: 2.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.65 : 2.47 = 1.48 : x
  2. Step 2: Convert to fraction form
    1.65/2.47 = 1.48/x
  3. Step 3: Cross multiply
    1.65x = 2.47 × 1.48
  4. Step 4: Simplify right side
    1.65x = 3.66
  5. Step 5: Solve for x
    x = 3.66/1.65
  6. Step 6: Final answer
    x = 2.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.