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Finding the Fourth Proportional to 64.66, 89.16 and 40.06

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Solution

The fourth proportional to 64.66, 89.16 and 40.06 is: 55.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.66 : 89.16 = 40.06 : x
  2. Step 2: Convert to fraction form
    64.66/89.16 = 40.06/x
  3. Step 3: Cross multiply
    64.66x = 89.16 × 40.06
  4. Step 4: Simplify right side
    64.66x = 3,571.75
  5. Step 5: Solve for x
    x = 3,571.75/64.66
  6. Step 6: Final answer
    x = 55.24

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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.