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Finding the Fourth Proportional to 64.65, 96.75 and 47.51

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Solution

The fourth proportional to 64.65, 96.75 and 47.51 is: 71.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.65 : 96.75 = 47.51 : x
  2. Step 2: Convert to fraction form
    64.65/96.75 = 47.51/x
  3. Step 3: Cross multiply
    64.65x = 96.75 × 47.51
  4. Step 4: Simplify right side
    64.65x = 4,596.11
  5. Step 5: Solve for x
    x = 4,596.11/64.65
  6. Step 6: Final answer
    x = 71.09

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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.