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Finding the Fourth Proportional to 64.91, 97.14 and 52.16

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Solution

The fourth proportional to 64.91, 97.14 and 52.16 is: 78.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.91 : 97.14 = 52.16 : x
  2. Step 2: Convert to fraction form
    64.91/97.14 = 52.16/x
  3. Step 3: Cross multiply
    64.91x = 97.14 × 52.16
  4. Step 4: Simplify right side
    64.91x = 5,066.82
  5. Step 5: Solve for x
    x = 5,066.82/64.91
  6. Step 6: Final answer
    x = 78.06

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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.