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Finding the Fourth Proportional to 27.64, 41.46 and 7.35

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Solution

The fourth proportional to 27.64, 41.46 and 7.35 is: 11.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.64 : 41.46 = 7.35 : x
  2. Step 2: Convert to fraction form
    27.64/41.46 = 7.35/x
  3. Step 3: Cross multiply
    27.64x = 41.46 × 7.35
  4. Step 4: Simplify right side
    27.64x = 304.89
  5. Step 5: Solve for x
    x = 304.89/27.64
  6. Step 6: Final answer
    x = 11.03

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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.