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Finding the Fourth Proportional to 64.13, 88.52 and 51.84

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Solution

The fourth proportional to 64.13, 88.52 and 51.84 is: 71.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.13 : 88.52 = 51.84 : x
  2. Step 2: Convert to fraction form
    64.13/88.52 = 51.84/x
  3. Step 3: Cross multiply
    64.13x = 88.52 × 51.84
  4. Step 4: Simplify right side
    64.13x = 4,588.62
  5. Step 5: Solve for x
    x = 4,588.62/64.13
  6. Step 6: Final answer
    x = 71.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.