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Finding the Fourth Proportional to 64.56, 96.71 and 49.16

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Solution

The fourth proportional to 64.56, 96.71 and 49.16 is: 73.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.56 : 96.71 = 49.16 : x
  2. Step 2: Convert to fraction form
    64.56/96.71 = 49.16/x
  3. Step 3: Cross multiply
    64.56x = 96.71 × 49.16
  4. Step 4: Simplify right side
    64.56x = 4,754.26
  5. Step 5: Solve for x
    x = 4,754.26/64.56
  6. Step 6: Final answer
    x = 73.64

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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.