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Finding the Fourth Proportional to 1.53, 2.30 and 1.37

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Solution

The fourth proportional to 1.53, 2.30 and 1.37 is: 2.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.53 : 2.30 = 1.37 : x
  2. Step 2: Convert to fraction form
    1.53/2.30 = 1.37/x
  3. Step 3: Cross multiply
    1.53x = 2.30 × 1.37
  4. Step 4: Simplify right side
    1.53x = 3.13
  5. Step 5: Solve for x
    x = 3.13/1.53
  6. Step 6: Final answer
    x = 2.05

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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.