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Finding the Fourth Proportional to 64.10, 96.30 and 59.54

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Solution

The fourth proportional to 64.10, 96.30 and 59.54 is: 89.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.10 : 96.30 = 59.54 : x
  2. Step 2: Convert to fraction form
    64.10/96.30 = 59.54/x
  3. Step 3: Cross multiply
    64.10x = 96.30 × 59.54
  4. Step 4: Simplify right side
    64.10x = 5,733.36
  5. Step 5: Solve for x
    x = 5,733.36/64.10
  6. Step 6: Final answer
    x = 89.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.