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Finding the Fourth Proportional to 64.49, 89.10 and 58.95

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Solution

The fourth proportional to 64.49, 89.10 and 58.95 is: 81.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.49 : 89.10 = 58.95 : x
  2. Step 2: Convert to fraction form
    64.49/89.10 = 58.95/x
  3. Step 3: Cross multiply
    64.49x = 89.10 × 58.95
  4. Step 4: Simplify right side
    64.49x = 5,252.45
  5. Step 5: Solve for x
    x = 5,252.45/64.49
  6. Step 6: Final answer
    x = 81.45

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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.