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Finding the Fourth Proportional to 146.63, 219.87 and 64.32

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Solution

The fourth proportional to 146.63, 219.87 and 64.32 is: 96.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.63 : 219.87 = 64.32 : x
  2. Step 2: Convert to fraction form
    146.63/219.87 = 64.32/x
  3. Step 3: Cross multiply
    146.63x = 219.87 × 64.32
  4. Step 4: Simplify right side
    146.63x = 14,142.04
  5. Step 5: Solve for x
    x = 14,142.04/146.63
  6. Step 6: Final answer
    x = 96.45

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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.