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Finding the Fourth Proportional to 88.02, 121.64 and 64.73

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Solution

The fourth proportional to 88.02, 121.64 and 64.73 is: 89.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.02 : 121.64 = 64.73 : x
  2. Step 2: Convert to fraction form
    88.02/121.64 = 64.73/x
  3. Step 3: Cross multiply
    88.02x = 121.64 × 64.73
  4. Step 4: Simplify right side
    88.02x = 7,873.74
  5. Step 5: Solve for x
    x = 7,873.74/88.02
  6. Step 6: Final answer
    x = 89.45

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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.