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Finding the Fourth Proportional to 64.30, 88.61 and 51.14

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Solution

The fourth proportional to 64.30, 88.61 and 51.14 is: 70.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.30 : 88.61 = 51.14 : x
  2. Step 2: Convert to fraction form
    64.30/88.61 = 51.14/x
  3. Step 3: Cross multiply
    64.30x = 88.61 × 51.14
  4. Step 4: Simplify right side
    64.30x = 4,531.26
  5. Step 5: Solve for x
    x = 4,531.26/64.30
  6. Step 6: Final answer
    x = 70.48

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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.