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Finding the Fourth Proportional to 1.06, 1.47 and 0.66

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Solution

The fourth proportional to 1.06, 1.47 and 0.66 is: 0.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.06 : 1.47 = 0.66 : x
  2. Step 2: Convert to fraction form
    1.06/1.47 = 0.66/x
  3. Step 3: Cross multiply
    1.06x = 1.47 × 0.66
  4. Step 4: Simplify right side
    1.06x = 0.97
  5. Step 5: Solve for x
    x = 0.97/1.06
  6. Step 6: Final answer
    x = 0.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.