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Finding the Fourth Proportional to 64.54, 96.90 and 52.57

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Solution

The fourth proportional to 64.54, 96.90 and 52.57 is: 78.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.54 : 96.90 = 52.57 : x
  2. Step 2: Convert to fraction form
    64.54/96.90 = 52.57/x
  3. Step 3: Cross multiply
    64.54x = 96.90 × 52.57
  4. Step 4: Simplify right side
    64.54x = 5,094.03
  5. Step 5: Solve for x
    x = 5,094.03/64.54
  6. Step 6: Final answer
    x = 78.93

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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.