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Finding the Fourth Proportional to 64.71, 89.35 and 40.16

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Solution

The fourth proportional to 64.71, 89.35 and 40.16 is: 55.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.71 : 89.35 = 40.16 : x
  2. Step 2: Convert to fraction form
    64.71/89.35 = 40.16/x
  3. Step 3: Cross multiply
    64.71x = 89.35 × 40.16
  4. Step 4: Simplify right side
    64.71x = 3,588.30
  5. Step 5: Solve for x
    x = 3,588.30/64.71
  6. Step 6: Final answer
    x = 55.45

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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.