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Finding the Fourth Proportional to 112.80, 152.40 and 112.80

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Solution

The fourth proportional to 112.80, 152.40 and 112.80 is: 152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.80 : 152.40 = 112.80 : x
  2. Step 2: Convert to fraction form
    112.80/152.40 = 112.80/x
  3. Step 3: Cross multiply
    112.80x = 152.40 × 112.80
  4. Step 4: Simplify right side
    112.80x = 17,190.72
  5. Step 5: Solve for x
    x = 17,190.72/112.80
  6. Step 6: Final answer
    x = 152.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.