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Finding the Fourth Proportional to 102.58, 153.28 and 73.56

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Solution

The fourth proportional to 102.58, 153.28 and 73.56 is: 109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.58 : 153.28 = 73.56 : x
  2. Step 2: Convert to fraction form
    102.58/153.28 = 73.56/x
  3. Step 3: Cross multiply
    102.58x = 153.28 × 73.56
  4. Step 4: Simplify right side
    102.58x = 11,275.28
  5. Step 5: Solve for x
    x = 11,275.28/102.58
  6. Step 6: Final answer
    x = 109.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.