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Finding the Fourth Proportional to 55.51, 76.52 and 37.06

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Solution

The fourth proportional to 55.51, 76.52 and 37.06 is: 51.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.51 : 76.52 = 37.06 : x
  2. Step 2: Convert to fraction form
    55.51/76.52 = 37.06/x
  3. Step 3: Cross multiply
    55.51x = 76.52 × 37.06
  4. Step 4: Simplify right side
    55.51x = 2,835.26
  5. Step 5: Solve for x
    x = 2,835.26/55.51
  6. Step 6: Final answer
    x = 51.08

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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.