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Finding the Fourth Proportional to 64.15, 88.51 and 42.31

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Solution

The fourth proportional to 64.15, 88.51 and 42.31 is: 58.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.15 : 88.51 = 42.31 : x
  2. Step 2: Convert to fraction form
    64.15/88.51 = 42.31/x
  3. Step 3: Cross multiply
    64.15x = 88.51 × 42.31
  4. Step 4: Simplify right side
    64.15x = 3,744.65
  5. Step 5: Solve for x
    x = 3,744.65/64.15
  6. Step 6: Final answer
    x = 58.37

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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.