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Finding the Fourth Proportional to 64.65, 89.16 and 40.08

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Solution

The fourth proportional to 64.65, 89.16 and 40.08 is: 55.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.65 : 89.16 = 40.08 : x
  2. Step 2: Convert to fraction form
    64.65/89.16 = 40.08/x
  3. Step 3: Cross multiply
    64.65x = 89.16 × 40.08
  4. Step 4: Simplify right side
    64.65x = 3,573.53
  5. Step 5: Solve for x
    x = 3,573.53/64.65
  6. Step 6: Final answer
    x = 55.28

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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.