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Finding the Fourth Proportional to 102, 152.70 and 71.46

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Solution

The fourth proportional to 102, 152.70 and 71.46 is: 106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 152.70 = 71.46 : x
  2. Step 2: Convert to fraction form
    102/152.70 = 71.46/x
  3. Step 3: Cross multiply
    102x = 152.70 × 71.46
  4. Step 4: Simplify right side
    102x = 10,911.94
  5. Step 5: Solve for x
    x = 10,911.94/102
  6. Step 6: Final answer
    x = 106.98

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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.