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Finding the Fourth Proportional to 64.00, 88.26 and 45.57

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Solution

The fourth proportional to 64.00, 88.26 and 45.57 is: 62.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.00 : 88.26 = 45.57 : x
  2. Step 2: Convert to fraction form
    64.00/88.26 = 45.57/x
  3. Step 3: Cross multiply
    64.00x = 88.26 × 45.57
  4. Step 4: Simplify right side
    64.00x = 4,022.17
  5. Step 5: Solve for x
    x = 4,022.17/64.00
  6. Step 6: Final answer
    x = 62.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.