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Finding the Fourth Proportional to 88.50, 122.14 and 54.02

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Solution

The fourth proportional to 88.50, 122.14 and 54.02 is: 74.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.50 : 122.14 = 54.02 : x
  2. Step 2: Convert to fraction form
    88.50/122.14 = 54.02/x
  3. Step 3: Cross multiply
    88.50x = 122.14 × 54.02
  4. Step 4: Simplify right side
    88.50x = 6,598.00
  5. Step 5: Solve for x
    x = 6,598.00/88.50
  6. Step 6: Final answer
    x = 74.55

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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.