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Finding the Fourth Proportional to 64.90, 89.51 and 40.32

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Solution

The fourth proportional to 64.90, 89.51 and 40.32 is: 55.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.90 : 89.51 = 40.32 : x
  2. Step 2: Convert to fraction form
    64.90/89.51 = 40.32/x
  3. Step 3: Cross multiply
    64.90x = 89.51 × 40.32
  4. Step 4: Simplify right side
    64.90x = 3,609.14
  5. Step 5: Solve for x
    x = 3,609.14/64.90
  6. Step 6: Final answer
    x = 55.61

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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.