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Finding the Fourth Proportional to 88.48, 122.12 and 53.50

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Solution

The fourth proportional to 88.48, 122.12 and 53.50 is: 73.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.48 : 122.12 = 53.50 : x
  2. Step 2: Convert to fraction form
    88.48/122.12 = 53.50/x
  3. Step 3: Cross multiply
    88.48x = 122.12 × 53.50
  4. Step 4: Simplify right side
    88.48x = 6,533.42
  5. Step 5: Solve for x
    x = 6,533.42/88.48
  6. Step 6: Final answer
    x = 73.84

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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.