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Finding the Fourth Proportional to 128.64, 192.03 and 117.30

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Solution

The fourth proportional to 128.64, 192.03 and 117.30 is: 175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.64 : 192.03 = 117.30 : x
  2. Step 2: Convert to fraction form
    128.64/192.03 = 117.30/x
  3. Step 3: Cross multiply
    128.64x = 192.03 × 117.30
  4. Step 4: Simplify right side
    128.64x = 22,525.12
  5. Step 5: Solve for x
    x = 22,525.12/128.64
  6. Step 6: Final answer
    x = 175.10

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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.