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Finding the Fourth Proportional to 27.16, 40.53 and 22.84

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Solution

The fourth proportional to 27.16, 40.53 and 22.84 is: 34.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.16 : 40.53 = 22.84 : x
  2. Step 2: Convert to fraction form
    27.16/40.53 = 22.84/x
  3. Step 3: Cross multiply
    27.16x = 40.53 × 22.84
  4. Step 4: Simplify right side
    27.16x = 925.71
  5. Step 5: Solve for x
    x = 925.71/27.16
  6. Step 6: Final answer
    x = 34.08

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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.