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Finding the Fourth Proportional to 30.64, 42.16 and 23.32

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Solution

The fourth proportional to 30.64, 42.16 and 23.32 is: 32.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.64 : 42.16 = 23.32 : x
  2. Step 2: Convert to fraction form
    30.64/42.16 = 23.32/x
  3. Step 3: Cross multiply
    30.64x = 42.16 × 23.32
  4. Step 4: Simplify right side
    30.64x = 983.17
  5. Step 5: Solve for x
    x = 983.17/30.64
  6. Step 6: Final answer
    x = 32.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.