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Finding the Fourth Proportional to 64.67, 96.53 and 56.14

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Solution

The fourth proportional to 64.67, 96.53 and 56.14 is: 83.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.67 : 96.53 = 56.14 : x
  2. Step 2: Convert to fraction form
    64.67/96.53 = 56.14/x
  3. Step 3: Cross multiply
    64.67x = 96.53 × 56.14
  4. Step 4: Simplify right side
    64.67x = 5,418.67
  5. Step 5: Solve for x
    x = 5,418.67/64.67
  6. Step 6: Final answer
    x = 83.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.