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Finding the Fourth Proportional to 2.16, 2.92 and 2.16

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Solution

The fourth proportional to 2.16, 2.92 and 2.16 is: 2.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.16 : 2.92 = 2.16 : x
  2. Step 2: Convert to fraction form
    2.16/2.92 = 2.16/x
  3. Step 3: Cross multiply
    2.16x = 2.92 × 2.16
  4. Step 4: Simplify right side
    2.16x = 6.31
  5. Step 5: Solve for x
    x = 6.31/2.16
  6. Step 6: Final answer
    x = 2.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.