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Finding the Fourth Proportional to 103.02, 153.80 and 95.32

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Solution

The fourth proportional to 103.02, 153.80 and 95.32 is: 142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.02 : 153.80 = 95.32 : x
  2. Step 2: Convert to fraction form
    103.02/153.80 = 95.32/x
  3. Step 3: Cross multiply
    103.02x = 153.80 × 95.32
  4. Step 4: Simplify right side
    103.02x = 14,660.22
  5. Step 5: Solve for x
    x = 14,660.22/103.02
  6. Step 6: Final answer
    x = 142.30

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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.