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Finding the Fourth Proportional to 64.32, 96 and 59.28

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Solution

The fourth proportional to 64.32, 96 and 59.28 is: 88.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.32 : 96 = 59.28 : x
  2. Step 2: Convert to fraction form
    64.32/96 = 59.28/x
  3. Step 3: Cross multiply
    64.32x = 96 × 59.28
  4. Step 4: Simplify right side
    64.32x = 5,690.88
  5. Step 5: Solve for x
    x = 5,690.88/64.32
  6. Step 6: Final answer
    x = 88.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.