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Finding the Fourth Proportional to 55.08, 76 and 30.52

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Solution

The fourth proportional to 55.08, 76 and 30.52 is: 42.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.08 : 76 = 30.52 : x
  2. Step 2: Convert to fraction form
    55.08/76 = 30.52/x
  3. Step 3: Cross multiply
    55.08x = 76 × 30.52
  4. Step 4: Simplify right side
    55.08x = 2,319.14
  5. Step 5: Solve for x
    x = 2,319.14/55.08
  6. Step 6: Final answer
    x = 42.11

Related Problems

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1.5x scale

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.