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Finding the Fourth Proportional to 29.46, 40.64 and 23.32

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Solution

The fourth proportional to 29.46, 40.64 and 23.32 is: 32.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.46 : 40.64 = 23.32 : x
  2. Step 2: Convert to fraction form
    29.46/40.64 = 23.32/x
  3. Step 3: Cross multiply
    29.46x = 40.64 × 23.32
  4. Step 4: Simplify right side
    29.46x = 947.72
  5. Step 5: Solve for x
    x = 947.72/29.46
  6. Step 6: Final answer
    x = 32.17

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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.