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Finding the Fourth Proportional to 101.66, 152.36 and 65.08

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Solution

The fourth proportional to 101.66, 152.36 and 65.08 is: 97.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.66 : 152.36 = 65.08 : x
  2. Step 2: Convert to fraction form
    101.66/152.36 = 65.08/x
  3. Step 3: Cross multiply
    101.66x = 152.36 × 65.08
  4. Step 4: Simplify right side
    101.66x = 9,915.87
  5. Step 5: Solve for x
    x = 9,915.87/101.66
  6. Step 6: Final answer
    x = 97.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.