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Finding the Fourth Proportional to 64.40, 88.85 and 42.57

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Solution

The fourth proportional to 64.40, 88.85 and 42.57 is: 58.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.40 : 88.85 = 42.57 : x
  2. Step 2: Convert to fraction form
    64.40/88.85 = 42.57/x
  3. Step 3: Cross multiply
    64.40x = 88.85 × 42.57
  4. Step 4: Simplify right side
    64.40x = 3,782.13
  5. Step 5: Solve for x
    x = 3,782.13/64.40
  6. Step 6: Final answer
    x = 58.73

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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.