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Finding the Fourth Proportional to 1.19, 1.78 and 1.07

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Solution

The fourth proportional to 1.19, 1.78 and 1.07 is: 1.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.19 : 1.78 = 1.07 : x
  2. Step 2: Convert to fraction form
    1.19/1.78 = 1.07/x
  3. Step 3: Cross multiply
    1.19x = 1.78 × 1.07
  4. Step 4: Simplify right side
    1.19x = 1.90
  5. Step 5: Solve for x
    x = 1.90/1.19
  6. Step 6: Final answer
    x = 1.60

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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.