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Finding the Fourth Proportional to 103.60, 152.67 and 103.60

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Solution

The fourth proportional to 103.60, 152.67 and 103.60 is: 152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.60 : 152.67 = 103.60 : x
  2. Step 2: Convert to fraction form
    103.60/152.67 = 103.60/x
  3. Step 3: Cross multiply
    103.60x = 152.67 × 103.60
  4. Step 4: Simplify right side
    103.60x = 15,816.61
  5. Step 5: Solve for x
    x = 15,816.61/103.60
  6. Step 6: Final answer
    x = 152.67

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.