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Finding the Fourth Proportional to 5.57, 8.32 and 4.06

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Solution

The fourth proportional to 5.57, 8.32 and 4.06 is: 6.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.57 : 8.32 = 4.06 : x
  2. Step 2: Convert to fraction form
    5.57/8.32 = 4.06/x
  3. Step 3: Cross multiply
    5.57x = 8.32 × 4.06
  4. Step 4: Simplify right side
    5.57x = 33.76
  5. Step 5: Solve for x
    x = 33.76/5.57
  6. Step 6: Final answer
    x = 6.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.