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Finding the Fourth Proportional to 64.03, 88.29 and 52.33

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Solution

The fourth proportional to 64.03, 88.29 and 52.33 is: 72.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.03 : 88.29 = 52.33 : x
  2. Step 2: Convert to fraction form
    64.03/88.29 = 52.33/x
  3. Step 3: Cross multiply
    64.03x = 88.29 × 52.33
  4. Step 4: Simplify right side
    64.03x = 4,619.95
  5. Step 5: Solve for x
    x = 4,619.95/64.03
  6. Step 6: Final answer
    x = 72.15

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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.