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Finding the Fourth Proportional to 64.93, 89.47 and 49.32

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Solution

The fourth proportional to 64.93, 89.47 and 49.32 is: 67.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.93 : 89.47 = 49.32 : x
  2. Step 2: Convert to fraction form
    64.93/89.47 = 49.32/x
  3. Step 3: Cross multiply
    64.93x = 89.47 × 49.32
  4. Step 4: Simplify right side
    64.93x = 4,412.95
  5. Step 5: Solve for x
    x = 4,412.95/64.93
  6. Step 6: Final answer
    x = 67.97

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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.