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Finding the Fourth Proportional to 102.50, 153.64 and 72.05

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Solution

The fourth proportional to 102.50, 153.64 and 72.05 is: 108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.50 : 153.64 = 72.05 : x
  2. Step 2: Convert to fraction form
    102.50/153.64 = 72.05/x
  3. Step 3: Cross multiply
    102.50x = 153.64 × 72.05
  4. Step 4: Simplify right side
    102.50x = 11,069.76
  5. Step 5: Solve for x
    x = 11,069.76/102.50
  6. Step 6: Final answer
    x = 108.00

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Why These Related Problems?

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