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Finding the Fourth Proportional to 64.54, 88.95 and 52.26

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Solution

The fourth proportional to 64.54, 88.95 and 52.26 is: 72.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.54 : 88.95 = 52.26 : x
  2. Step 2: Convert to fraction form
    64.54/88.95 = 52.26/x
  3. Step 3: Cross multiply
    64.54x = 88.95 × 52.26
  4. Step 4: Simplify right side
    64.54x = 4,648.53
  5. Step 5: Solve for x
    x = 4,648.53/64.54
  6. Step 6: Final answer
    x = 72.03

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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.