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Finding the Fourth Proportional to 64.22, 88.15 and 57.16

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Solution

The fourth proportional to 64.22, 88.15 and 57.16 is: 78.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.22 : 88.15 = 57.16 : x
  2. Step 2: Convert to fraction form
    64.22/88.15 = 57.16/x
  3. Step 3: Cross multiply
    64.22x = 88.15 × 57.16
  4. Step 4: Simplify right side
    64.22x = 5,038.65
  5. Step 5: Solve for x
    x = 5,038.65/64.22
  6. Step 6: Final answer
    x = 78.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.