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Finding the Fourth Proportional to 111.18, 153.40 and 64.53

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Solution

The fourth proportional to 111.18, 153.40 and 64.53 is: 89.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.18 : 153.40 = 64.53 : x
  2. Step 2: Convert to fraction form
    111.18/153.40 = 64.53/x
  3. Step 3: Cross multiply
    111.18x = 153.40 × 64.53
  4. Step 4: Simplify right side
    111.18x = 9,898.74
  5. Step 5: Solve for x
    x = 9,898.74/111.18
  6. Step 6: Final answer
    x = 89.04

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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.