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Finding the Fourth Proportional to 111.01, 153.21 and 64.40

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Solution

The fourth proportional to 111.01, 153.21 and 64.40 is: 88.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.01 : 153.21 = 64.40 : x
  2. Step 2: Convert to fraction form
    111.01/153.21 = 64.40/x
  3. Step 3: Cross multiply
    111.01x = 153.21 × 64.40
  4. Step 4: Simplify right side
    111.01x = 9,865.64
  5. Step 5: Solve for x
    x = 9,865.64/111.01
  6. Step 6: Final answer
    x = 88.87

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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.