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Finding the Fourth Proportional to 64.09, 88.42 and 40.77

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Solution

The fourth proportional to 64.09, 88.42 and 40.77 is: 56.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.09 : 88.42 = 40.77 : x
  2. Step 2: Convert to fraction form
    64.09/88.42 = 40.77/x
  3. Step 3: Cross multiply
    64.09x = 88.42 × 40.77
  4. Step 4: Simplify right side
    64.09x = 3,604.24
  5. Step 5: Solve for x
    x = 3,604.24/64.09
  6. Step 6: Final answer
    x = 56.24

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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.