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Finding the Fourth Proportional to 1.74, 2.60 and 1.17

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Solution

The fourth proportional to 1.74, 2.60 and 1.17 is: 1.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.74 : 2.60 = 1.17 : x
  2. Step 2: Convert to fraction form
    1.74/2.60 = 1.17/x
  3. Step 3: Cross multiply
    1.74x = 2.60 × 1.17
  4. Step 4: Simplify right side
    1.74x = 3.05
  5. Step 5: Solve for x
    x = 3.05/1.74
  6. Step 6: Final answer
    x = 1.76

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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.