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Finding the Fourth Proportional to 157.12, 216.64 and 105.28

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Solution

The fourth proportional to 157.12, 216.64 and 105.28 is: 145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.12 : 216.64 = 105.28 : x
  2. Step 2: Convert to fraction form
    157.12/216.64 = 105.28/x
  3. Step 3: Cross multiply
    157.12x = 216.64 × 105.28
  4. Step 4: Simplify right side
    157.12x = 22,807.86
  5. Step 5: Solve for x
    x = 22,807.86/157.12
  6. Step 6: Final answer
    x = 145.16

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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.