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Finding the Fourth Proportional to 111.33, 153.60 and 64.71

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Solution

The fourth proportional to 111.33, 153.60 and 64.71 is: 89.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.33 : 153.60 = 64.71 : x
  2. Step 2: Convert to fraction form
    111.33/153.60 = 64.71/x
  3. Step 3: Cross multiply
    111.33x = 153.60 × 64.71
  4. Step 4: Simplify right side
    111.33x = 9,939.46
  5. Step 5: Solve for x
    x = 9,939.46/111.33
  6. Step 6: Final answer
    x = 89.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.