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Finding the Fourth Proportional to 15.05, 22.58 and 3.64

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Solution

The fourth proportional to 15.05, 22.58 and 3.64 is: 5.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.05 : 22.58 = 3.64 : x
  2. Step 2: Convert to fraction form
    15.05/22.58 = 3.64/x
  3. Step 3: Cross multiply
    15.05x = 22.58 × 3.64
  4. Step 4: Simplify right side
    15.05x = 82.17
  5. Step 5: Solve for x
    x = 82.17/15.05
  6. Step 6: Final answer
    x = 5.46

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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.