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Finding the Fourth Proportional to 131.76, 182.04 and 93

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Solution

The fourth proportional to 131.76, 182.04 and 93 is: 128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.76 : 182.04 = 93 : x
  2. Step 2: Convert to fraction form
    131.76/182.04 = 93/x
  3. Step 3: Cross multiply
    131.76x = 182.04 × 93
  4. Step 4: Simplify right side
    131.76x = 16,929.72
  5. Step 5: Solve for x
    x = 16,929.72/131.76
  6. Step 6: Final answer
    x = 128.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.