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Finding the Fourth Proportional to 1.11, 1.66 and 0.77

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Solution

The fourth proportional to 1.11, 1.66 and 0.77 is: 1.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.11 : 1.66 = 0.77 : x
  2. Step 2: Convert to fraction form
    1.11/1.66 = 0.77/x
  3. Step 3: Cross multiply
    1.11x = 1.66 × 0.77
  4. Step 4: Simplify right side
    1.11x = 1.29
  5. Step 5: Solve for x
    x = 1.29/1.11
  6. Step 6: Final answer
    x = 1.16

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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.