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Finding the Fourth Proportional to 111.36, 153.64 and 64.74

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Solution

The fourth proportional to 111.36, 153.64 and 64.74 is: 89.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.36 : 153.64 = 64.74 : x
  2. Step 2: Convert to fraction form
    111.36/153.64 = 64.74/x
  3. Step 3: Cross multiply
    111.36x = 153.64 × 64.74
  4. Step 4: Simplify right side
    111.36x = 9,946.65
  5. Step 5: Solve for x
    x = 9,946.65/111.36
  6. Step 6: Final answer
    x = 89.32

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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.