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Finding the Fourth Proportional to 88.23, 121.75 and 53.25

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Solution

The fourth proportional to 88.23, 121.75 and 53.25 is: 73.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.23 : 121.75 = 53.25 : x
  2. Step 2: Convert to fraction form
    88.23/121.75 = 53.25/x
  3. Step 3: Cross multiply
    88.23x = 121.75 × 53.25
  4. Step 4: Simplify right side
    88.23x = 6,483.19
  5. Step 5: Solve for x
    x = 6,483.19/88.23
  6. Step 6: Final answer
    x = 73.48

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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.