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Finding the Fourth Proportional to 64.66, 89.16 and 41.02

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Solution

The fourth proportional to 64.66, 89.16 and 41.02 is: 56.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.66 : 89.16 = 41.02 : x
  2. Step 2: Convert to fraction form
    64.66/89.16 = 41.02/x
  3. Step 3: Cross multiply
    64.66x = 89.16 × 41.02
  4. Step 4: Simplify right side
    64.66x = 3,657.34
  5. Step 5: Solve for x
    x = 3,657.34/64.66
  6. Step 6: Final answer
    x = 56.56

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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.