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Finding the Fourth Proportional to 64.24, 88.63 and 38.00

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Solution

The fourth proportional to 64.24, 88.63 and 38.00 is: 52.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.24 : 88.63 = 38.00 : x
  2. Step 2: Convert to fraction form
    64.24/88.63 = 38.00/x
  3. Step 3: Cross multiply
    64.24x = 88.63 × 38.00
  4. Step 4: Simplify right side
    64.24x = 3,368.07
  5. Step 5: Solve for x
    x = 3,368.07/64.24
  6. Step 6: Final answer
    x = 52.43

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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.