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Finding the Fourth Proportional to 5.76, 8.59 and 5.46

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Solution

The fourth proportional to 5.76, 8.59 and 5.46 is: 8.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.76 : 8.59 = 5.46 : x
  2. Step 2: Convert to fraction form
    5.76/8.59 = 5.46/x
  3. Step 3: Cross multiply
    5.76x = 8.59 × 5.46
  4. Step 4: Simplify right side
    5.76x = 46.87
  5. Step 5: Solve for x
    x = 46.87/5.76
  6. Step 6: Final answer
    x = 8.14

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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.