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Finding the Fourth Proportional to 64.90, 89.28 and 57.10

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Solution

The fourth proportional to 64.90, 89.28 and 57.10 is: 78.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.90 : 89.28 = 57.10 : x
  2. Step 2: Convert to fraction form
    64.90/89.28 = 57.10/x
  3. Step 3: Cross multiply
    64.90x = 89.28 × 57.10
  4. Step 4: Simplify right side
    64.90x = 5,097.89
  5. Step 5: Solve for x
    x = 5,097.89/64.90
  6. Step 6: Final answer
    x = 78.55

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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.