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Finding the Fourth Proportional to 64.30, 96.28 and 58.90

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Solution

The fourth proportional to 64.30, 96.28 and 58.90 is: 88.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.30 : 96.28 = 58.90 : x
  2. Step 2: Convert to fraction form
    64.30/96.28 = 58.90/x
  3. Step 3: Cross multiply
    64.30x = 96.28 × 58.90
  4. Step 4: Simplify right side
    64.30x = 5,670.89
  5. Step 5: Solve for x
    x = 5,670.89/64.30
  6. Step 6: Final answer
    x = 88.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.